Current location - Training Enrollment Network - Mathematics courses - The sixth grade mathematics travel application questions and answers.
The sixth grade mathematics travel application questions and answers.
1. Two trains leave from two places 640 kilometers apart at the same time and meet in five hours. The bus speed is 70 kilometers per hour, and the truck speed is how many kilometers per hour?

The distance between Party A and Party B is 560 kilometers. A bus and a truck leave the two places at the same time and meet in 5.6 hours. The bus travels 55 kilometers per hour, and the truck travels how many kilometers per hour?

3. At the same time, two motorcycles left from two places 329 kilometers apart. After a three-hour meeting, the speed of a motorcycle is 44 kilometers per hour. What is the speed of the other motorcycle?

4. Two cars, big and small, leave relatively from two places at the same time. Four hours later, the cart was 84 kilometers less than the car, and the car had reached the midpoint of the road. It is also known that the whole bus journey takes 12 hours. What is the total length of this highway?

5. Two cars, A and B, leave from two cities 405 kilometers apart at the same time. If A travels 45 kilometers per hour, A's speed is 1 times that of B. How many hours does it take for two cars to meet?

6. The distance between Party A and Party B is 484 kilometers. A car travels from Party A to Party B. 1.5 hours later, a motorcycle travels from Party B to Party A, and meets an oncoming car four hours later. It is known that cars travel 40 kilometers per hour, and how many kilometers do motorcycles travel per hour?

7. Team A and Team B dig canals together. Team A digs from east to west, while Team B digs from west to east. Team A digs 75 meters a day, 2.5 meters more than Team B. After eight days of cooperation, there is still a gap of 52 meters. Is this canal full length?

8. A car travels from place A to place B at a speed of 50 kilometers per hour. When it returns from B to A, it takes only 2 hours to reach A because of its speed increase. How many kilometers is it between A and B?

9. It takes 10 hour for the express train from A to B and 15 hour for the local train from B to A. At the same time, two cars leave from two opposite places. When they met, the local train was 288 kilometers away from a city. How many kilometers is it between a and b cities?

10. Party A and Party B set out from East Village and West Village at the same time, facing each other. Party A will stop over for 3 minutes and meet in 15 minutes. It is known that it takes 30 minutes for A to travel and 80 meters for B to walk every minute. How many meters are the two villages apart?

1 1. Buses and trucks leave from two places at the same time and go in opposite directions. Bus trip 14 hour, truck trip 2 1 hour. When they met, the bus traveled more than the truck 126 km. What is the distance between the two places?

12. It takes 12 hours for the bus to go from A to B, and 15 hours for the truck. Two cars leave from A and B at the same time. When they met, the bus ran 98 kilometers more than the truck. How many kilometers is it between A and B?

13. A freight train runs from Station A to bilibili at a speed of 50 kilometers per hour. Two hours later, a bus traveled from bilibili to Station A at a speed of 55 kilometers per hour. Four hours later, the bus met the freight train. What's the distance between the two stations?

14. A car goes from place A to place B at a speed of 40 kilometers per hour and arrives in 8 hours. It takes 8 kilometers less to walk from B to A every hour. How many hours does it take to return?

15. The distance between Party A and Party B is1134km. The bus and truck leave from two stations at the same time and meet in 10 hour and 30 minutes. The speed of a truck is the speed of a bus. How many kilometers does this bus travel per hour?

16.A it takes 15 minutes to get from the east village to the west village, and b it takes 15 minutes to get from the west village to the east village. Two people set out at the same time and meet at the midpoint of the two villages150m. How many meters are the two villages apart?

The best answer is 1, truck speed = 640/5-70 =128-70 = 58 km/h.

2. Freight car speed = 560/5.6-55 =100-55 = 45 km/h.

3. The speed of the other motorcycle = 329/3-44 =197/3 km/h.

4. The whole journey of the car dealership =4/( 1/2)=8 hours.

112× 4 =1/3 for the whole journey of a four-hour cart.

Total length of highway = 84/(1/2-1/3) = 84× 6 = 504km.

5, 405/(45+45)=4.5 hours to meet.

6. Speed of motorcycle = (484-40×1.5)/4-40 = 424/4-40 =106-40 = 66 km/h.

7. Total length = (75+75+2.5) × 8+52 =152.5× 8+52 =1272m.

8、

8. A car travels from place A to place B at a speed of 50 kilometers per hour. When it returns from B to A, it takes only 2 hours to reach A because of its speed increase. How many kilometers is it between A and B?

9. Meeting time =1(110+115) = 6 hours.

6-hour local train115× 6 = 2/5

Then the whole journey =288/( 1-2/5)=480 km.

10, ( 15-3)/30=2/5.

B Whole journey 1-2/5=3/5.

Otsuichi * * * line time = 15 minutes.

Distance (80×15)/(3/5) =120× 5/3 = 200 km.

1 1, meeting time =1/(114+1/21) = 42/5 hours.

Distance between the two places =126/[(114-1/21) × 42/5] =126 * 5 = 630km.

12, meeting time =1/(112+115) = 20/3 hours.

Distance between Party A and Party B = 98/[(112-115) × 20/3] = 98/(1/9) = 882km.

13, distance = 50× 2+(55+50 )× 4 = 520km.

14, the required time = (40× 8)/(40-8) = 320/32 =10 hour.

15, speed sum =1134/10.5 =108km/h.

Bus speed = 108/( 1+2)=36 km/h.

16, meeting time =1/(110+115) = 6 minutes.

The distance between the two villages is150/(1/2-6/15) =150/(110) =1500m.

1. Equation of Mode ①: Let the truck travel x kilometers per hour.

Get 5x=640-5*70.

x=58

So the truck travels 58 kilometers per hour.

Methods ② Formula: The bus traveled 5 * 70 = 350km.

The truck walked 640-350=290 kilometers.

The truck travels 290/5 = 58 kilometers per hour.

2. Equation of Mode ①: Set the speed of the truck at x kilometers per hour.

Get 5.6x=560-5.6*55.

x=45

So the truck travels 45 kilometers per hour.

Mode ② Formula: The bus traveled 5.6 * 55 = 308km.

The truck traveled 560-308 = 252km.

The truck travels 252/5.6 = 45 kilometers per hour.

3. Equation of Model ①: Let the latter walk x kilometers per hour.

Get 3x=329-44*3.

x= 197/3

So the latter walks 197/3km per hour.

Mode ② formula: the former goes 44 * 3 = 132km.

The latter walked 329- 132= 197 km.

The latter walks 197/3km per hour.

4. Equation of Mode ①: Set the cart to walk x kilometers per hour.

Get 4x+84= 12x/2.

x=42

So the whole length is 42 * 12 = 504km.

Methods ② Formula: A four-hour drive is 4/ 12=2/6 of the total length.

84m is 1/2-2/6= 1/6 of the total length.

The total length of most parts is 84/( 1/6)=504 km.

5. Mode ① Equation: Let two cars meet after X hours.

45x=405- 1*45x

x=4.5

So four and a half hours later, two cars met.

Mode ② formula: the sum of the two vehicle speeds is 45+1* 45 = 90km/h.

So 405/90=4.5 hours later, the two cars met.

6. Equation of Mode ①: Let the motorcycle run at the speed of X kilometers per hour.

Get (484- 1.5*40)-4*40=4x.

x=77

So the motorcycle travels 77 kilometers per hour.

Methods ② Formula: the car driving 40 * 1.5 hours = 60 kilometers.

The remaining 484-60=424 kilometers.

The bus traveled 4*40= 160 km in 4 hours.

The motorcycle traveled 424- 160=264 km.

Motorcycles travel 264/4=77 kilometers per hour.

7. Equation of Model ①: Let this canal be x meters long.

[75+(75-2.5)]*8=x-52

x= 1232

So the total length is 1232 meters.

Methods ② Formula: Team B digs 75-2.5 = 72.5m every day.

The two teams dig 75+72.5= 147.5 meters every day.

Digging for eight days * * * Digging147.5 * 8 =1180m.

The total length is1180+52 =1232m.