Problems on Trains

Q. A train 150 meters long is moving at a speed of 72 km/h. How long will it take to cross a bridge 300 meters long?

A. 15 seconds
B. 20 seconds
C. 25 seconds
D. 30 seconds

Solution

Total distance to cover = Length of train + Length of bridge = 150 m + 300 m = 450 m. Speed in m/s = 72 * (5/18) = 20 m/s. Time = Distance / Speed = 450 m / 20 m/s = 22.5 seconds.

Correct Answer: B — 20 seconds

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Q. A train covers a distance of 120 km at a speed of 60 km/h. How much time does it take?

A. 1 hour
B. 2 hours
C. 3 hours
D. 4 hours

Solution

Time = Distance / Speed = 120 km / 60 km/h = 2 hours.

Correct Answer: B — 2 hours

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Q. A train covers a distance of 300 km at a speed of 75 km/h. How much time does it take to cover this distance?

A. 4 hours
B. 5 hours
C. 6 hours
D. 7 hours

Solution

Time = Distance / Speed = 300 km / 75 km/h = 4 hours.

Correct Answer: B — 5 hours

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Q. A train leaves a station and travels at 90 km/h. How far will it travel in 3 hours?

A. 180 km
B. 270 km
C. 300 km
D. 360 km

Solution

Distance = Speed * Time = 90 km/h * 3 hours = 270 km.

Correct Answer: D — 360 km

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Q. A train leaves station A at 10:00 AM and reaches station B at 12:00 PM. If the distance between the two stations is 200 km, what is the speed of the train?

A. 80 km/h
B. 90 km/h
C. 100 km/h
D. 110 km/h

Solution

Speed = Distance / Time = 200 km / 2 hours = 100 km/h.

Correct Answer: C — 100 km/h

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Q. A train leaves station A at 10:00 AM and reaches station B at 12:00 PM. If the distance between A and B is 180 km, what is the speed of the train?

A. 70 km/h
B. 80 km/h
C. 90 km/h
D. 100 km/h

Solution

Time taken = 2 hours. Speed = Distance / Time = 180 km / 2 hours = 90 km/h.

Correct Answer: B — 80 km/h

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Q. A train takes 10 seconds to cross a pole. If the length of the train is 150 meters, what is the speed of the train in km/h?

A. 54 km/h
B. 60 km/h
C. 72 km/h
D. 80 km/h

Solution

Speed = Distance / Time = 150 m / 10 s = 15 m/s = 15 * 18/5 = 54 km/h.

Correct Answer: A — 54 km/h

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Q. A train takes 10 seconds to cross a pole. If the train is 150 meters long, what is its speed?

A. 15 m/s
B. 20 m/s
C. 25 m/s
D. 30 m/s

Solution

Speed = Distance / Time = 150 m / 10 s = 15 m/s.

Correct Answer: B — 20 m/s

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Q. A train takes 10 seconds to cross a pole. If the train is 200 meters long, what is its speed?

A. 18 km/h
B. 36 km/h
C. 54 km/h
D. 72 km/h

Solution

Speed = Distance / Time = 200 m / 10 s = 20 m/s. Converting to km/h: 20 m/s * (18/5) = 72 km/h.

Correct Answer: B — 36 km/h

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Q. A train travels 240 km at a speed of 80 km/h. How long does it take to complete the journey?

A. 2 hours
B. 3 hours
C. 4 hours
D. 5 hours

Solution

Time = Distance / Speed = 240 km / 80 km/h = 3 hours.

Correct Answer: C — 4 hours

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Q. A train travels 60 km at a speed of 30 km/h. How long does it take to cover this distance?

A. 1 hour
B. 2 hours
C. 3 hours
D. 4 hours

Solution

Time = Distance / Speed = 60 km / 30 km/h = 2 hours.

Correct Answer: B — 2 hours

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Q. A train travels at a speed of 90 km/h. How long will it take to travel 450 km?

A. 4 hours
B. 5 hours
C. 6 hours
D. 7 hours

Solution

Time = Distance / Speed = 450 km / 90 km/h = 5 hours.

Correct Answer: B — 5 hours

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Q. A train travels from city X to city Y at a speed of 45 km/h and returns at a speed of 60 km/h. What is the average speed for the entire journey?

A. 50 km/h
B. 52 km/h
C. 54 km/h
D. 56 km/h

Solution

Average Speed = 2 * (Speed1 * Speed2) / (Speed1 + Speed2) = 2 * (45 * 60) / (45 + 60) = 54 km/h.

Correct Answer: B — 52 km/h

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Q. A train travels from city X to city Y at a speed of 80 km/h and returns at a speed of 60 km/h. What is the average speed for the entire journey?

A. 70 km/h
B. 72 km/h
C. 75 km/h
D. 78 km/h

Solution

Average speed = 2xy / (x + y) where x = 80 and y = 60. Average speed = 2 * 80 * 60 / (80 + 60) = 72 km/h.

Correct Answer: B — 72 km/h

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Q. If a train travels 100 km in 1 hour and 30 minutes, what is its average speed?

A. 60 km/h
B. 70 km/h
C. 80 km/h
D. 90 km/h

Solution

Average Speed = Total Distance / Total Time = 100 km / 1.5 hours = 66.67 km/h.

Correct Answer: A — 60 km/h

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Q. If a train travels 120 km in 2 hours, what is its average speed?

A. 50 km/h
B. 60 km/h
C. 70 km/h
D. 80 km/h

Solution

Average speed = Total distance / Total time = 120 km / 2 hours = 60 km/h.

Correct Answer: B — 60 km/h

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Q. If a train travels 150 km at a speed of 75 km/h, how long will it take to reach its destination?

A. 1 hour
B. 2 hours
C. 3 hours
D. 4 hours

Solution

Time = Distance / Speed = 150 km / 75 km/h = 2 hours.

Correct Answer: C — 3 hours

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Q. If a train travels 150 km in 2 hours, what is its average speed?

A. 60 km/h
B. 70 km/h
C. 75 km/h
D. 80 km/h

Solution

Average Speed = Total Distance / Total Time = 150 km / 2 hours = 75 km/h.

Correct Answer: A — 60 km/h

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Q. If a train travels 240 km in 3 hours, what is the percentage increase in speed if it travels the same distance in 2 hours?

A. 20%
B. 25%
C. 30%
D. 40%

Solution

Initial Speed = 240 km / 3 hours = 80 km/h; New Speed = 240 km / 2 hours = 120 km/h; Percentage Increase = ((120 - 80) / 80) * 100 = 50%.

Correct Answer: B — 25%

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Q. If a train travels 300 km in 4 hours, what is the percentage increase in speed if it travels the same distance in 3 hours?

A. 25%
B. 33.33%
C. 50%
D. 75%

Solution

Initial speed = 300 km / 4 hours = 75 km/h. New speed = 300 km / 3 hours = 100 km/h. Percentage increase = ((100 - 75) / 75) * 100 = 33.33%.

Correct Answer: B — 33.33%

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Q. Two trains are moving towards each other at speeds of 60 km/h and 90 km/h. If they are 300 km apart, how long will it take for them to meet?

A. 1 hour
B. 2 hours
C. 3 hours
D. 4 hours

Solution

Time = Distance / (Speed of A + Speed of B) = 300 km / (60 + 90) km/h = 300 / 150 = 2 hours.

Correct Answer: B — 2 hours

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Q. Two trains are running in opposite directions at speeds of 50 km/h and 70 km/h. What is their relative speed?

A. 120 km/h
B. 100 km/h
C. 80 km/h
D. 90 km/h

Solution

Relative speed = Speed of train 1 + Speed of train 2 = 50 km/h + 70 km/h = 120 km/h.

Correct Answer: A — 120 km/h

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Q. Two trains start from the same point and travel in opposite directions. One train travels at 60 km/h and the other at 90 km/h. How far apart will they be after 1 hour?

A. 150 km
B. 120 km
C. 90 km
D. 60 km

Solution

Distance apart = Speed of train 1 + Speed of train 2 = 60 km/h + 90 km/h = 150 km.

Correct Answer: A — 150 km

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Q. Two trains start from the same point and travel in opposite directions. Train A travels at 80 km/h and Train B at 100 km/h. How far apart will they be after 1 hour?

A. 180 km
B. 160 km
C. 200 km
D. 150 km

Solution

Distance apart = (Speed of A + Speed of B) * Time = (80 + 100) * 1 = 180 km.

Correct Answer: A — 180 km

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Q. Two trains start from the same point and travel in opposite directions. Train A travels at 50 km/h and Train B at 70 km/h. How far apart will they be after 2 hours?

A. 240 km
B. 130 km
C. 140 km
D. 160 km

Solution

Distance = (Speed of A + Speed of B) * Time = (50 + 70) * 2 = 240 km.

Correct Answer: A — 240 km

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Showing 1 to 25 of 25 (1 Pages)

Problems on Trains

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