1.a and B are 720km apart, and the cart is opposite to the cart. If the cart goes forward for 1.5 hours, and the car starts again, the two cars will meet at the midpoint; If two cars move in opposite directions at the same time, the distance between them will still be180km after five hours. Two cars, big and small, travel () kilometers per hour?

Two cars are going from A to B at the same time. The express train runs 6 kilometers more than the local train every hour. The express train passes through Plaza C 30 minutes earlier than the local train. When the local train arrived at C, the express train had traveled 30 kilometers and just arrived at B. The distance between A and C was ().

3. Two cars, A and B, drive in opposite directions from A and B at the same time. The two cars met for the first time at a distance of 32 km, and they continued to drive after meeting. After arriving at B and A respectively, immediately return along the original road and meet for the second time at a distance of 64 km ... then the distance between A and B is () km.

There is a project that Team A can finish in 20 days and Team B can finish in 30 days. Now Party A and Party B cooperate to complete the project. During the cooperation, Team A rested for 4 days, Team B rested for several days, and the project was completed in *** 15 days. Team B has rested for () days.

5. Car A and car B both start from place A and pass through place B to place C. The distance between A and B is equal to the distance between B and C, and the speed of car B is 80% of that of car A. It is known that car B started earlier than car A 1 1 minute, but stayed at place B for 7 minutes, while car A drove all the way to place C. Finally, car B was 4 minutes later than car A. ..

6. One night, there was a sudden power outage, and two candles with different thicknesses but the same length were lit in the room. When the call came in, two candles were blown out at the same time, and it was found that the remaining length of the thicker candle was three times that of the thinner candle. It is known that thicker candles can last for 5 hours from lighting to burning out, and thinner candles can last for 3 hours. The power outage lasted () hours.

7. Pleasant Goat, Beautiful Goat and Lazy Goat sailed from A to B respectively. Pleasant Goat took 6 hours, and the paddling speed ratio of Pleasant Goat, Beautiful Goat and Lazy Goat was 5: 4: 3. So how many hours did it take the lazy sheep to row smoothly from A to B?

8. There is a rectangular runway ABCD. A starts from vertex A, and B starts from point C, all running clockwise. A runs 5 meters per second, and B runs 4.5 meters per second. A catches up with B for the first time, and A runs () laps.

9. The express, the bus and the bus from slow three set off at the same time to chase a moving bicycle. The speed of the three cars is 24 km, 20 km and 19 km respectively. It took 6 hours for the express train to catch up with the bike, 10 hours for the bus to catch up with the bike, and how many hours for the local train to catch up with the bike?

10. Xiaohua 10: 18 leaves a city and arrives at b city at 13: 30. On the same day, Xiao Ming also left City B along the same road at 9: 00 and arrived at City A at 1 1: 40. There is a bridge in the middle of this road. Obana Xiaoming reached both ends of the bridge at the same time. After they continue to walk, Xiaohua will leave the bridge in tomorrow night 1 minute. When will they reach both ends of the bridge at the same time?

1 1. There is a closed sheepfold 20 meters long and 10 meters wide on the grass, and a sheep is tied to one corner of the sheepfold with a rope 30 meters long. The range of this sheep is () square meters.

12. Master Zhang goes to work by car and walks home. It takes 80 minutes on the road. If you go back and forth by car, the whole journey takes 50 minutes. If you go back and forth, the whole journey will take () minutes.

13. Party A and Party B came by bike from East and West towns at the same time. The speed ratio of Party A and Party B is 3: 4. It is known that Party A has gone all the way, and there are still 20 kilometers from the meeting place. When they met, Party A walked () kilometers less than Party B. ..

14. A walks 85 meters per minute, B walks 77 meters per minute, and C walks 65 meters per minute. Now A starts from the east, and B and C start from the west at the same time. After A and B meet, A and C meet again in 4 minutes. The distance between east and west is () meters.

15.a and B are 56 kilometers apart. There are three people: Party A, Party B and Party C. Party A and Party B set out from City A and Party C set out from City B at the same time. Go in the opposite direction A, B and C are carried out at the speed of 6 km, 5 km and 4 km per hour respectively. Find out how many hours after departure, B is just halfway between A and C.

16. Xiaoming, Xiaojun and Xiaoli run from the same place along a circular track with a circumference of 400 meters at the same time. Xiaoming runs 300 meters per minute, Xiaojun runs 260 meters and Xiaoli runs 100 meters. At least () minutes later, three people can be together again.

17. Two cars, A and B, set off from A and B respectively at the same time and headed for the other side. Car A travels 45 kilometers per hour, while car B travels 36 kilometers per hour. After the encounter, the two cars continued to drive at the original speed, and immediately returned after arriving at the destination, so they kept driving back and forth. It is known that the location of the second frontal encounter on the way is 60 kilometers away from the location of the third frontal encounter. Then a and b are thousands of meters apart.

18. Party A and Party B came by bike from East and West towns at the same time. The speed ratio of Party A and Party B is 3: 4. It is known that Party A has traveled all the way, 20 kilometers away from the meeting place. When they met, Party A walked () kilometers less than Party B. ..

19. A mountaineering team climbed a dangerous peak, climbing more than 2 meters for the first time, the remaining 1 meter for the second time, and the last 73 meters for the third time. The climber climbed the dangerous mountain up to () meters.

20. The walking speeds of Party A, Party B and Party C are respectively 100 m, 90 m and 75 m per minute. A is somewhere on the highway, and B and C are at B on the highway. The three of them set out at the same time, and A walked across from B and C. Three minutes after A and B met, A and C met again. The distance between a and b is () meters.

2 1. There is an 8-meter-high tree in the zoo. Two monkeys had a tree climbing competition. When the older monkey climbs 2 meters, the other monkey climbs 1.5 meters. The older monkey climbed to the top of the tree first and came down twice as fast as before. Two monkeys meet at a distance of () meters from the ground.

22. The two brothers rode into the city with a journey of 5 1 km. The speed of a horse is 12 km, but only one person can ride it. My brother walks 5 kilometers per hour, and my brother walks 4 kilometers per hour. The two men rode and walked alternately. After a certain distance, the rider got off the saddle and tied the horse (the time for getting off the saddle and tying the horse is negligible), and then walked alone. When the walkers arrive here, they will mount their horses and move forward. If they leave at six in the morning, they will arrive in the city at the same time.

23. The speed of cars A and B is 58km and 42km respectively. They started from a and headed in the same direction at the same time. 10 hours later, a car meets an oncoming truck. Two hours later, car B also met the truck and asked what the speed of the truck was.

There is a road between the school and the factory. The school sent a car to the factory at 2 pm to pick up a model worker and give a report to the school. Round trip takes 1 hour. The model worker left the factory in the afternoon 1 and walked to school at a speed of 2 kilometers per hour. When he met a car on the road, he immediately got on the bus and drove to school. As a result, I arrived at school 10 minutes in advance, so the school is () kilometers away from the factory.

25. Someone walked around a square. It is known that his speed on the first side is 1 km; Take the second side and walk 2 kilometers per hour; Take the third side and walk 3 kilometers per hour; Take the fourth side and walk 4 kilometers per hour. Then the average speed of his walking is () kilometers per hour.

10.a and B are 720 kilometers apart, and the two cars go in opposite directions. If the cart goes forward for 1.5 hours, and the car starts again, the two cars will meet at the midpoint; If two cars move in opposite directions at the same time, the distance between them will still be180km after five hours. Two cars, big and small, travel () kilometers per hour?

Answer: The car is 60 km/h and the cart is 48 km/h. It takes 1.5 hours for the cart to walk half way, and it takes 3 hours for the cart to walk all the way. It takes x hours to open a small car shop and (X+3) hours for a large car.

+=÷5,+=。

Because = =+=+,which means X= 12. Cart 720÷( 12+3)=48 (km/h); Tram 720÷ 12=60 (km/h).

Two cars are going from A to B at the same time. The express train runs 6 kilometers per hour more than the local train. The express train passes through Plaza C 30 minutes earlier than the local train. When the local train arrived at C, the express train had traveled 30 kilometers and just arrived at B. The distance between A and C was ().

Answer: 270 kilometers.

Let the local train speed be x kilometers per hour and the express train speed be (x+6) kilometers per hour, =30÷(x+6), and x=54. The speed of the express train is x+6=60 (km/h), 30÷6=50 (km) and 54×5=270 (km).

7. Two cars, A and B, are driving in opposite directions from A and B at the same time. They met for the first time at a distance of 32 kilometers. After meeting, the two cars continued to drive. After arriving at B and A respectively, immediately return along the original road and meet for the second time at a distance of 64 kilometers ... then the distance between A and B is () kilometers.

Answer: 7. 80 (kilometers).

(32×3+64)÷2=80 (km).

There is a project that Team A can finish in 20 days and Team B can finish in 30 days. Now Party A and Party B cooperate to complete the project. During the cooperation, Team A rested for 4 days, Team B rested for several days, and the project was completed in *** 15. Team B has rested for () days.

Answer: 4. 1.5 days.

[× (15-4) +×15-1] = (+-1)× 30 =1.5 (days)

5. Car A and car B both start from place A and pass through place B to place C. The distance between A and B is equal to the distance between B and C, and the speed of car B is 80% of that of car A. It is known that car B started earlier than car A 1 1 minute, but stayed at place B for 7 minutes, while car A drove all the way to place C. Finally, car B was 4 minutes later than car A. ..

Answer: 5.27 minutes.

Driving of car B * * *: (1-7+4) ÷ (1-80%) = 40 (minutes), and the required time: 40÷2+7=27 (minutes).

One night, there was a sudden power failure, and two candles with different thicknesses but the same length were lit in the room at the same time. When the call came in, two candles were blown out at the same time, and it was found that the remaining length of the thicker candle was three times that of the thinner candle. It is known that thicker candles can last for 5 hours from lighting to burning out, and thinner candles can last for 3 hours. The power outage lasted () hours.

Answer: 2.5 hours.

Set the power outage for x hours, depending on the meaning of the problem; 1-x=3( 1-x)，x=2.5。

13. Pleasant Goat, Beautiful Goat and Lazy Goat sailed smoothly from A to B respectively. Pleasant Goat took 6 hours, and the paddling speed ratio of Pleasant Goat, Beautiful Goat and Lazy Goat was 5: 4: 3. So how many hours did it take the lazy sheep to row smoothly from A to B?

9. There is a rectangular runway ABCD. A starts from vertex A and B starts from point C, both of which run clockwise. A runs 5 meters per second, and B runs 4.5 meters per second. A catches up with B for the first time, and A runs () laps.

1 1. Express, China Bus and slow three set off from A to catch up with a running bike at the same time. The speed of the three cars is 24 km, 20 km and 19 km respectively. It took 6 hours for the express train to catch up with the bike, 10 hours for the bus to catch up with the bike, and how many hours for the local train to catch up with the bike?

14. Xiaohua 10: 18 leaves city a and arrives at city b at 13: 30. On the same day, Xiao Ming also left City B along the same road at 9: 00 and arrived at City A at 1 1: 40. There is a bridge in the middle of this road. Obana Xiaoming reached both ends of the bridge at the same time. After they continue to walk, Xiaohua will leave the bridge in tomorrow night 1 minute. When will they reach both ends of the bridge at the same time?

Answer: Xiaohua 10: 18 left City A, 13: 30 arrived in City B * * Time 192 minutes;

Xiaoming leaves City B at 9: 00 and arrives in City A at 1 1: 40. It took him 160 minutes.

Obana starlets walk the same distance, so: t Hua ￣T Ming =v Ming ￣V Hua = 192 655338+060 = 6￣5.

Judging from two people reaching both ends of the bridge at the same time, Xiaohua will leave the bridge at 1 tomorrow night and walk the same distance. The time ratio of Xiaoming in Obana is 6︰5, which means it takes 6 minutes for Xiaohua to cross the bridge and 5 minutes for Xiaoming to cross the bridge.

Let the total length from City A to City B be "1", then Xiaohua's branch is full-length and Xiaoming's branch is full-length.

Xiao Ming started at 9 o'clock, 10: 18 has been driving for 78 minutes, and has already covered the whole course ×78=.

At this time, Xiaohua set out from City A, and after a period of time, both of them reached both ends of the bridge at the same time. They finished the whole journey before they reached both ends of the bridge at the same time: 1-.

From 10 18, two people reached both ends of the bridge at the same time, and it took ÷(+)=42 (minutes).

That is, from 10: 18, it takes 42 minutes for them to reach both ends of the bridge at the same time, that is, 1 1: 00.

There is a closed sheepfold on the grass, which is 20m long and 10m wide. In the corner of the sheepfold, a sheep is tied by a 30-meter-long rope. The range of this sheep is () square meters.

A: The effective area is the sum of the three sector areas. Namely: 3.14× 302×+3.14× (30-20) 2×+3.14× (30-10) 2× = 25/kloc-0.

Master Zhang goes to work by bus and walks home. It takes 80 minutes on the road. If you go back and forth by bus, the whole journey takes 50 minutes. If you go back and forth, the whole journey will take () minutes.

Answer: (80-50 ÷ 2) × 2 = 1 10 (minutes).

8. Both Party A and Party B came by bike from East and West towns at the same time. The speed ratio of Party A and Party B is 3: 4. It is known that Party A has gone all the way, and there are still 20 kilometers from the meeting place. When they meet, Party A's trip is less than Party B's (Answer: 30 kilometers.

) kilometers.

9. A walks 85 meters per minute, B walks 77 meters per minute and C walks 65 meters per minute. Now A starts from the east, and B and C start from the west at the same time. After A and B meet, A and C meet again in 4 minutes. The distance between east and west is () meters.

Answer: (85+65)×4÷(77-65)=50 (minutes).

(85+77)×50=8 100 (meter).

1 1.a and B are 56 kilometers apart. There are three people, A, B and C. A and B set out from City A, and C set out from City B at the same time. Go in the opposite direction A, B and C are carried out at the speed of 6 km, 5 km and 4 km per hour respectively. Find out how many hours after departure, B is just halfway between A and C.

Answer: suppose that after x hours, B is at the midpoint between A and C,

According to the meaning of the question, it is 6x-5x = 5x+4x-56, and the solution is X= 7.

6. Xiaoming, Xiaojun and Xiaoli run in the same direction from the same place along the circular runway with a circumference of 400 meters. Xiaoming runs 300 meters, Xiaojun runs 260 meters, and Xiao Li runs 100 meters per minute. At least () minutes later, three people can get together again.

Answer: 10 minutes. Hint: We set X minutes, and the three of us will get together again. (300-260)x=400a，(300- 100)x=400b，(260- 100)x=400c，x= 10a，x=2b，x=2.5c，〔 10，2，2.5〕= 10 .

4. Two cars, A and B, leave from A and B at the same time in opposite directions. Car A travels 45 kilometers per hour, while car B travels 36 kilometers per hour. After the encounter, the two cars continued to drive at the original speed, and immediately returned after arriving at the destination, so they kept driving back and forth. It is known that the location of the second frontal encounter on the way is 60 kilometers away from the location of the third frontal encounter. Then a and b are thousands of meters apart.

Answer: because V A: V B = 45: 36 = 5: 4, S A: S B = 5: 4 at the same time. In this way, the distance between AB is equally divided into 9 parts. 1 meeting, Party A and Party B walked a whole journey, that is, 9 parts, of which Party A walked 5 parts. From the 1 meeting to the second meeting, Party A and Party B went through two whole processes, namely 18, in which Party A went through 10. Among them, A left 65,438+00 copies ... According to this rule, the figure shows that the second intersection is 4 copies away from the third intersection, so the distance between AB and AB is 60÷4×9 = 135(km).

4. Both Party A and Party B came by bike from East and West towns at the same time. The speed ratio of Party A and Party B is 3: 4. It is known that Party A has gone all the way, and there are still 20 kilometers from the meeting place. When they met, Party A walked () kilometers less than Party B. ..

Answer: According to the question, when they meet, the distance ratio between A and B is 3: 4, that is, A has to walk the whole journey and B has to walk the whole journey. In this way, the whole journey is: 20 ÷ (-) = 2 10 (cm). So when we meet, A is less than B: 2 10× (-) = 30 (km).

10. A mountaineering team climbed a dangerous peak, climbing more than 2 meters for the first time, the remaining 1 meter for the second time, and the last 73 meters for the third time. The climber climbed the dangerous mountain up to () meters.

Answer: Let the whole journey be x meters, and the question is: x+2 +× [x-(x+2)]-1+73 = x.

Solution: x=3620.

3. The walking speeds of Party A, Party B and Party C are 100 m per minute, 90 m and 75 m respectively. A is somewhere on the highway, and B and C are at B on the highway. The three of them set out at the same time, and A walked across from B and C. Three minutes after A and B met, A and C met again. The distance between a and b is () meters.

: 6650 meters (hint: once you meet and merge, just draw a schematic diagram. )

There is an 8-meter-high tree in the zoo. Two monkeys had a tree climbing competition. When the older monkey climbs 2 meters, the other monkey climbs 1.5 meters. The older monkey climbed to the top of the tree first and came down twice as fast as before. Two monkeys meet at a distance of () meters from the ground.

9. The two brothers rode their bikes to the city, the whole journey was 5 1 km. The speed of a horse is 12 km, but only one person can ride it. My brother walks 5 kilometers per hour, and my brother walks 4 kilometers per hour. The two men rode and walked alternately. After a certain distance, the rider got off the saddle and tied the horse (the time for getting off the saddle and tying the horse is negligible), and then walked alone. When the walkers arrive here, they will mount their horses and move forward. If they leave at six in the morning, they will arrive in the city at the same time.

Answer to question [8]:

Suppose it takes 1 sec for a big monkey to climb 2 meters, and 1.5 meters for a small monkey to climb. When the big monkey climbs the tree, the distance the little monkey climbs is 82 1.5=6 (meters); The time when two monkeys meet is (8-6) [1.5+2 (2+1)] = (seconds). When two monkeys meet, the height from the ground is 6+ 1.5×6.4 (m).

Answer to question [9]:

Suppose my brother walked x kilometers and then rode 5 1-x kilometers. The younger brother walked 5 1-x kilometers and rode x kilometers. According to the meaning of the question, he got x=30 (km). So it takes two people (hours) =7 hours and 45 minutes. Depart at 6 am and arrive at 1: 45 pm.

1 1.A and B have speeds of 58km and 42km respectively. They started from a and headed in the same direction at the same time. 10 hours later, a car meets an oncoming truck. Two hours later, Car B also met the truck. What's the speed of this truck?

There is a road between the school and the factory. The school sent a car to the factory at 2 pm to pick up a model worker and give a report to the school. Round trip takes 1 hour. The model worker left the factory in the afternoon 1 and walked to school at a speed of 2 kilometers per hour. When he met a car on the road, he immediately got on the bus and drove to school. As a result, I arrived at school 10 minutes in advance, so the school is () kilometers away from the factory.

17 km. The key is 10 minute in advance, that is, the train took two steps less and 10 minute less, so the 2: 25 train received a model worker on the way. The walking time of the model worker is 2 ∶ 25- 1 ∶ 00 = 1 hour, 25 minutes = 1 (hour), and the speed is: (2× 1)+= 34 (km/hour). So the distance from the factory to the school is 34×= 17 (km).

6. Someone walked around a square. It is known that his speed on the first side is 1 km; Take the second side and walk 2 kilometers per hour; Take the third side and walk 3 kilometers per hour; Take the fourth side and walk 4 kilometers per hour. Then the average speed of his walking is () kilometers per hour.

Answer:1.92km. Tip: Set the numbering method. The landlord chose me.