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"Running Water" Mathematical Olympics
The boat running practice of the primary school Olympic Games travel topic 1

1. The distance between the two docks is 192km, and it takes 8 hours for the motorboat to travel along the river. Assuming that the current speed of this river is 4 km/h, how many hours will it take to walk the whole distance against the current?

The distance between the two docks is 432 kilometers. It takes 16 hours for the ship to travel downstream, and 9 kilometers less per hour for the ship to travel upstream. How many hours does it take to travel upstream?

3. The distance between pier A and pier B is 130 km, and the steamboat travels from pier B to pier A for 6.5 hours. It is also known that the speed of the steamboat in still water is 23 km per hour. How many hours does it take for the steamboat to sail downstream from Pier A to Pier B?

4. For the first time, a cargo fleet sailed 42km downstream and 8km upstream, which took 1 1 hour; The second time, I sailed 24 kilometers downstream and 14 kilometers upstream in the same time. Find the speed and current speed of this small fleet in still water.

5. The speed of the ship in still water is 18km/h, and the current speed is 2km. It takes 15 hours for this ship to sail from port A to port B. What is the distance from port A to port B?

6. A ship travels15km per hour and travels 72km against the current in 6 hours. How many hours will it take if it travels the same distance along the current?

7. The distance between Port A and Port B is 240 kilometers. It takes 65,438+05 hours for the ship to travel against the current. It is known that the current speed of this voyage is 4 kilometers per hour. How many hours will it take the ship to complete the journey along this river?

8. The distance between Port A and Port B is 140 km. A ship sailed from Port A to Port B, arrived smoothly in 7 hours, and returned to Port A in countercurrent 10 hour. What is the speed and current speed of this ship in still water?

9. A ship sailed from Port B to Port A, traveling upstream at a speed of18km per hour, and it took four hours to return to Port B downstream ... It is known that the water speed of this channel is 3km per hour. How many kilometers is it between Port A and Port B?

10. The distance from Port A to Port B is 192km, and it takes 12 hours to go upstream from Port B to Port A. It is 8 kilometers more than when I was there. How long will it take to get back than to go?

1 1. A small boat, sailing 48km downstream for the first time and 8km upstream, * * * needs10h; The second time, at the same time, sailing 24 kilometers downstream and sailing against the current 14 kilometers. What is the speed and current speed of this ship in still water?

12. It is known that it takes 4 hours for a ship to sail 48 kilometers downstream and 6 hours for a ship to sail 48 kilometers upstream. Now the ship is from the upstream city A to the downstream city B. It is known that the waterways of the two cities are 72 kilometers long. During the voyage, a passenger threw a board from the window and asked how many kilometers it was from B city when the ship arrived.

13. The distance between port A and port B is 90km. It takes 6 hours for the boat to go downstream and 10 hours for the boat to go upstream. It takes five hours for motorboats to go downstream and several hours to go upstream.

14. The distance between the two upstream docks is 192km, and it takes 8 hours for the motorboat to travel along the river. Assuming that the current speed of this river is 4 kilometers per hour, how many hours will it take to walk the whole distance upstream?

15. The distance between the two docks is 432km, so it takes 16h for the ship to sail along the river. How many hours does it take to recombine against the current?

16. Jia River is a tributary of B River. The water speed of A River is 3 kilometers per hour, and that of B River is 2 kilometers per hour. A ship sailed along the A River for 7 hours, traveled 133 km to reach the B River, and sailed upstream in the B River for 84 km. How many hours will this ship sail?

17. Two ships, A and B, went upstream from Port A respectively. In still water, the speed of ship A is15km/h, the speed of ship B is12km/h, and the water speed is 3km/h.. Two hours after the departure of B ship, A ship started to leave. How many kilometers had ship A left Port A when it caught up with ship B?

18. Given an 80km waterway, it takes 4 hours for ship A to go downstream and 10 hour for ship B to go upstream. If it takes five hours for B ship to go downstream, how many hours will it take for B ship to go upstream?

19. It is understood that it is 60 kilometers from A to Haikou. If the boat goes downstream, it will take 4 hours to reach Haikou. As we all know, the speed of water is 6 kilometers per hour. Four hours after the ship returned, the water speed from the sea to the river was 3 kilometers per hour due to the high tide. How many hours will it take for the ship to return to its original place?

Driving a boat on the road 2

1. To sail in a river with a length of 120 km, it takes 10 min for the upstream and 6 hours for the downstream, and the water speed is _ _ _ _ _ _ _ _ _.

2. A boat goes upstream with a water speed of 2km and a ship speed of 32km, and travels _ _ _ _ _ _ _ _ _ km for 4 hours. (Ship speed and water speed are calculated by hour)

3. A ship travels 8 kilometers per hour in still water, 2 hours 12 kilometers upstream, and the water speed is _ _ _ _ _.

4. The speed of the ship in still water is 18km/h, and the speed of water is 2km. It takes 15h for the ship to travel upstream from A to B, so the distance between A and B is _ _ _ _ _ _ _ km.

5. The distance between the two docks is 192km. It takes eight hours for a motorboat to travel completely downstream and _ _ _ _ _ _ _ hours for a motorboat to travel completely upstream. Suppose the current speed is 4 kilometers per hour.

6. The distance between the two docks is 432 kilometers. It takes 16 hours for the ship to sail along the river. 9 kilometers less per hour for sailing against the current, and _ _ _ _ _ _ _ hours more for sailing against the current.

7. A River is a tributary of B River. The water speed of River A is 3 kilometers per hour, and that of River B is 2 kilometers. A ship sailed along the A River for 7 hours, traveled 133 km to reach the B River, and sailed upstream in the B River for 84 km. The ship must sail for _ _ _ _ _ hours.

8. Two ships, A and B, went upstream from Port A respectively. In still water, the speed of Party A is15km, the speed of Party B is12km, and the water speed is 3km. Two hours after Party B leaves, Party A starts to leave. When Party A catches up with Party B, it has left Port A for _ _ _ _ _ _ _ _ kilometers.

9. As we all know, in an 80km waterway, it takes 4 hours for a boat to go downstream and 10 hours for a boat to go upstream. If it takes five hours for the boat to go downstream, it will take _ _ _ _ _ hours for the boat to go upstream.

10. As we all know, it is 60 kilometers from the river to Haikou. If the boat goes downstream, it will take 4 hours to reach Haikou. As we all know, the speed of water is 6 kilometers per hour. Four hours after the ship returned, due to the high tide of the river, the speed of water flow from the sea to the river was 3 kilometers per hour. It will take another _ _ _ hours for the ship to return to its original place.

Rowing during the trip Exercise 3

1.Pier A and Pier B are 560 kilometers apart. A ship sailed from Pier A to Pier B for 20 hours. It is known that the speed of the ship in still water is 24 kilometers per hour. How many hours will it take for this ship to return to Terminal A?

2. In still water, the speed of ship A is 22km per hour, and that of ship B is 18km per hour. First, ship B sailed downstream from a port. Two hours later, ship A sailed in the same direction. If the current speed is 4 kilometers per hour, how many hours will it take for ship A to catch up with ship B?

3. When the ship sails between the two docks, it sails 4 hours downstream, 5 hours upstream, and the water speed is 2 kilometers. Find the speed of the ship in still water.

The distance between Port A and Port B is 360 kilometers. It takes 35 hours for a ship to go back and forth between two ports, 5 hours more for sailing against the current than for sailing with the current, and the other sailboat is per hour 12 km. How many hours does it take for this sailboat to go back and forth between the two ports?

5. A ship is sailing in the river, and the speed of water is 2 kilometers per hour. It travels at the speed of 8 kilometers per hour in still water, and it takes _ _ _ _ _ hours to sail 50 kilometers along the river.

6. The speed of the ship in still water is13.5km/h, the current speed is 3.5km/h, and the speed of sailing against the current is _ _ _ _ _ _ km/h..

7. The sailing speed of a ship is10km per hour, the current speed is _ _ _ _ km per hour, and it travels 40km against the current for 5 hours.

8. A passenger ship with a speed of13km is sailing in a river. The water speed of this river is 7km/h, so it takes _ _ _ _ _ hours for this ship to sail at140km (downstream).

9. The speed of the ship in still water is per hour15km. It sailed against the current 1 1 hour and walked 88 kilometers. The ship will return in _ _ _ _ hours.

10. The first time a ship sailed 56 kilometers downstream and 20 kilometers upstream, it took 12 hours. The second time, with the same time, sail 40 kilometers downstream and 28 kilometers upstream, with the ship speed of _ _ _ _ _ _ and the water speed of _ _ _ _.

11.Port A and Port B are 77 kilometers apart, and the speed of the ship is 9 kilometers per hour. Now the speed is 2 kilometers per hour, so it takes _ _ _ _ hours to sail from Port A to Port B.

12. The distance between Pier A and Pier B is144km, and the steamboat travels upstream from Pier B for 8 hours to Pier A, knowing that the speed of the steamboat in still water is 2 1 km per hour, and it takes _ _ _ _ hours for the steamboat to return to Pier B downstream.

13. the distance between port a and port b is 192km. A ship travels downstream from Port A 16 hours to Port B. It is known that the speed of the ship in still water is five times that of the current, so the water speed is _ _ _ _ _ _ _.

14. A ship is going downstream at a speed of18km/h. If the distance of the ship descending for 2 hours is equal to the distance of ascending for 3 hours, then the speed of the ship is _ _ _ _ _ _ _ _.

15. The distance between A and B is 48km, so it takes 3 hours for a ship to sail downstream from A to B; It took 8 hours to return to B because the water level rose after the rain. Usually, the water speed is 4 kilometers. How much did the water speed increase after the water rose?

16. In still water, the speed of ships A and B is 22km and 18km respectively. The two ships set off from the port smoothly. B set off two hours earlier than A. If the water speed is 4km per hour, how many hours after A sets off, can it catch up with B?

17. For the first time, a cargo fleet sailed 42km downstream and 8km upstream, which took 1 1 hour. At the same time, I sailed 24 kilometers downstream and 14 kilometers upstream for the second time. What is the speed and current speed of this fleet in still water?

18. It is known that it takes 4 hours for ship A to go downstream, and it takes 10 hour for ship B to go upstream. If it takes five hours for ship B to go downstream, how many hours will it take for ship B to go upstream?

Running a boat on the road exercise 4

1, a big river, the flow speed in the middle (main channel) of the river is 8 kilometers per hour, and the flow speed along the coast is 6 kilometers per hour. A boat goes downstream in the middle of the river, and travels 520 kilometers 13 hours. How many hours does it take for the ship to return to its original starting point along the coast?

2. For the first time, a cargo fleet sailed 42 kilometers downstream and 8 kilometers upstream, with a time of 1 1 hour; At the same time, I sailed 24 kilometers downstream and 14 kilometers upstream for the second time. What is the speed and current speed of this fleet in still water?

It is understood that it is 60 kilometers from the river to Haikou. If the ship goes downstream and reaches Haikou in 4 hours, it will be known that the speed of water is 6 kilometers per hour. Four hours after the ship returned, due to the high tide on the sea surface, the water speed from the sea surface to the river surface was 3 kilometers per hour. How many hours will it take for the ship to return to its original place?

4. a ship goes downstream from a, reaches b at a speed of 35 kilometers per hour, and then reaches a upstream ... countercurrent is 4 hours longer than downstream. Suppose the speed of water is 5 kilometers per hour. How many kilometers are there between A and B?

An airplane can use fuel for 9 hours. When the plane flies with the wind, it can fly 1500 km per hour, and when it flies back against the wind, it can fly 1200 km per hour. How many kilometers can this plane fly at most?

6. It took two hours to popularize motorcycles for 40 kilometers, and the wind speed was 2 kilometers per hour. How many kilometers per hour does the motorcycle run with the wind?

7. The speed in the wide and narrow waters of the river is 5 kilometers per hour and 8 kilometers per hour respectively. How many kilometers can a ship sail in two hours in the wide waters of this river for 50 kilometers and enter the narrow waters?

8. Xiaomei paddled the boat upstream and put the straw hat at the stern. The straw hat was blown into the river by the wind. When he found and adjusted the bow, the straw hat had left the ship 1 km. If the ship is traveling at a speed of 5 kilometers per hour, and the current speed is 2 kilometers per hour, how many hours will it take him to catch up with the straw hat?

9. A ship is sailing in the river, and the speed when it goes downstream is 20 kilometers per hour. It is known that the distance traveled by this ship is equal to the distance traveled by sailing downstream for 3 hours and sailing upstream for 5 hours. What is the speed of the ship and the speed of the water?

10, Wang Hong's home is away from school 10 km. He goes to school by bike at a speed of 250 meters per minute every morning, just in time. One morning, because of the headwind, the wind speed was 50 meters per minute. For the first 4 kilometers, he still rode at a speed of 250 meters per minute. Then, how many meters per minute should he go to school on time for the remaining 6 kilometers?

1 1.A ship sailed along the river for 3 hours, traveled 180 kilometers, and returned to its original place for 6 hours. Ship B sailed the same waterway along the river for four hours. B How many hours did it take for the boat to return to its original place than to go there?

Exercise 5 on running a boat on the road

1.The waterway between Port A and Port B is 208 kilometers long. A ship sails from port A to port B, arrives at the port in 8 hours, returns to port A from port B, and reaches 13 hours in countercurrent, so as to find the speed of the ship in still water and the current speed.

2. The speed of a ship in still water is15 km/h. It takes 8 hours to sail from upstream to downstream, and the water speed is 3 km/h. How long does it take to return from upstream to downstream?

The distance between Port A and Port B is 360 kilometers. It takes 35 hours for a ship to travel between two ports. It takes five hours more to sail against the current than against it. Now there is a sailboat in still water with a speed of12km. How many hours does it take for this sailboat to go back and forth between the two ports?

Xiao Gang and Xiao Qiang rented a boat, rowed upstream and accidentally dropped the kettle into the river. When they found and adjusted the bow, the kettle was 2 kilometers away from the ship. Assuming that the speed of the ship was 4 kilometers per hour at that time and now it is 2 kilometers per hour, how long will it take them to catch up with the kettle?

The speed of ship A and ship B in still water is 24 km/h and 32 km/h respectively. At the same time, the two ships set out from two ports 336 kilometers away from a river and headed for each other. How many hours did they meet? If we drive in the same direction, ship A is in front and ship B is behind. Ship b will catch up with ship a in a few hours.

6. Master Wang delivers goods from place A to place B by car. If he drives at 60 kilometers per hour, he can get back to A on time. However, when he arrived at B, he found that the speed from A to B was only 55 kilometers per hour. If he wants to return to A on time, what speed should he drive back?

7. The distance between Party A and Party B is100km. Xiao Zhang started from Party A by motorcycle. 1 hour later, Xiao Li set off from Party A by bus and both of them arrived at Party B at the same time. The motorcycle started at 50 kilometers per hour, and after slowing down halfway, it was 40 kilometers per hour. The speed is 80 kilometers per hour, and it stopped on the way 10 minutes. What about the small open motorcycle?

8. A young sprinter ran 90 meters with the wind in 10 second. At the same wind speed, it took 10 seconds to run 70 meters against the wind. Q: How many seconds did it take him to run 65,438+000 meters without wind?

9. A small river passes through the towns of A, B and C, and there are steamboats between A and B. The speed of steamboats in still water is 1 1 km per hour. There is a wooden boat ferry between B and C. The speed of the wooden boat in still water is 3.5 kilometers per hour. It is known that the waterway between A and C is 50 kilometers apart and the current speed is 65438 per hour.

10. A big river has two mouths, A and B. Water flows from A to B at a speed of 4 kilometers per hour. Two ships, A and B, sailed from A to B at the same time. Each ship kept sailing back and forth between A and B. The speed of A ship in still water was 28 kilometers per hour, and that of B ship in still water was 20 kilometers per hour. It is known that the two ships met head-on for the second time, and ship A caught up with ship B for the second time.

1 1, Ship A and Ship B in the same river are sailing towards each other at the same time, with Ship A going downstream and Ship B going upstream. When they met, they sailed equally, and after they met, they moved on. When they arrived in B and B, they immediately went back the same way. When the two ships met for the second time, ship A sailed less than ship B.

Ship running practice of travel question 6

1. The waterway between Party A and Party B is 234 kilometers. It takes 9 hours for a ship to go from port A to port B, and it takes 13 hours for a ship to return from port B. What is the speed of the ship and the speed of the water per hour?

2. A passenger ship with a speed of 25 kilometers per hour is in the Grand Canal 140 kilometers, and the water speed is 3 kilometers. How many hours will it take?

The speed of the ship in still water is 30 kilometers per hour. 1 1 hour swims against the current in the long river of 176 km. How many hours does it take to get back to the original place?

4. A ship is sailing in the river, and it travels downstream at the speed of18km per hour. As we all know, the distance that the ship travels downstream for two hours is exactly the same as that of traveling upstream for three hours. Find the ship speed and water speed.

The distance between the two docks is 352 kilometers. It takes 1 1 hour for the ship to travel downstream, and 16 hour for the ship to travel upstream. Find the velocity of the river.

6. The river channel between Pier A and Pier B is 90 kilometers long, and two ships A and B set sail from Pier A and Pier B respectively. If they meet in opposite directions for 3 hours, if they meet in the same direction 15 hours, find the speed of the two ships in still water.

7. Ship B sailed along the river for 2 hours, traveled120km, and returned to its original place for 4 hours. Ship A sailed along the same waterway for 3 hours. How many hours did it take for Ship A to return to its original place?

8. A river has an upper pier and a lower pier, which are 45 kilometers apart. Every day, two passenger ships A and B with the same speed leave from two docks at the same time. One day, when Ship A set out from the upstream wharf, it dropped an object, which floated on the water and went downstream. Four minutes later, the distance from ship A 1 km, it is expected that ship B will encounter this object a few hours after departure.

A ship is sailing in the river, and it is traveling downstream at the speed of 65,438+08 kilometers per hour. It is known that the distance traveled by the ship for 2 hours downstream is exactly the same as that traveled by the ship for 3 hours upstream. Find the ship speed and water speed.

10. The distance between the two docks is 352km. It takes 1 1 hour for the ship to travel downstream, and 16 hour for the ship to travel upstream. Find the velocity of the river.

Rowing during the trip Exercise 7

1. The distance between Party A and Party B is 234 kilometers. It takes 9 hours by boat from A to B, and from B to A for 13 hours. What are the boat speed and water speed respectively?

2. The speed of passenger ship is 15km/h, and it takes 8 hours from upstream to downstream. The water speed is 3km/h, how many hours does it take for a passenger ship to return from upstream to downstream?

The distance between the two places is 360 kilometers, and a yacht sails back and forth between the two places. Downstream 12 hour, countercurrent 18 hour, and find the yacht speed.

4. The speed of passenger ships and cargo ships is 20km and 16km respectively. The two ships sailed in the same direction from the dock. The cargo ship arrived three hours early. It is known that the current speed is four kilometers per hour. How many hours will the passenger ship catch up with the cargo ship?

5. A ship travels 25 kilometers per hour and sails in the Grand Canal 140 kilometers. The speed of water is 3 kilometers per hour. How many hours will it take?

6. Docks A and B are 72km apart. It takes six hours for a ship to sail downstream and nine hours to sail upstream. Find the speed and current speed of the ship in still water.

7. In still water, the speed of ship A is 22km per hour, and the speed of ship B is 18km per hour. First, ship B sailed downstream from a port. Two hours later, ship A sailed in the same place and direction. If the current speed is 4 kilometers per hour, how many hours will it take for ship A to catch up with ship B?

8. A big river has two mouths, A and B, and the water flows from A to B at a speed of 4 kilometers per hour. A and B travel from A to B at the same time, and each of them keeps sailing back and forth between A and B. The speed of A ship in still water is 28km/h, and that of B ship in still water is 20km/h.. It is known that the location where the two ships meet head-on for the second time is 40 kilometers away from the location where Ship A catches up with Ship B for the second time. Find one.

9. The waterway between Port A and Port B is 208 kilometers long. A ship sails from port A to port B, arrives at the port in 8 hours, returns to port A from port B, and reaches 13 hours in countercurrent, so as to find the speed of the ship in still water and the current speed.

10. The speed of the ship in still water is15km per hour. It took 8 hours to sail from the upstream to the downstream, and the current speed was 3 kilometers per hour. How long does it take from upstream to downstream?