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Q. A train moving at 72 km/h overtakes a man walking at 6 km/h in the same direction. How fast does the train appear to be moving to the man?

A. 66 km/h
B. 72 km/h
C. 78 km/h
D. 84 km/h

Solution

Relative speed = Speed of train - Speed of man = 72 km/h - 6 km/h = 66 km/h.

Correct Answer: A — 66 km/h

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Q. A train moving at 72 km/h passes a man walking at 6 km/h in the same direction. How fast does the train appear to be moving to the man?

A. 66 km/h
B. 72 km/h
C. 78 km/h
D. 84 km/h

Solution

Relative speed = Speed of train - Speed of man = 72 km/h - 6 km/h = 66 km/h.

Correct Answer: A — 66 km/h

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Q. A train moving at 72 km/h passes a platform 300 m long. How long does it take to cross the platform completely?

A. 10 seconds
B. 15 seconds
C. 20 seconds
D. 25 seconds

Solution

Total distance = Length of train + Length of platform. If length of train is L, time = (L + 300)/20 m/s. Assuming L = 300 m, time = (300 + 300)/20 = 30 seconds.

Correct Answer: B — 15 seconds

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Q. A train moving at a speed of 72 km/h applies brakes and comes to a stop in 5 seconds. What is the acceleration of the train?

A. -4 m/s²
B. -2 m/s²
C. -3 m/s²
D. -1 m/s²

Solution

First, convert speed to m/s: 72 km/h = 20 m/s. Using a = (v - u)/t = (0 - 20)/5 = -4 m/s².

Correct Answer: A — -4 m/s²

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Q. A train moving with a speed of 60 km/h applies brakes and comes to a stop in 5 seconds. What is the magnitude of its acceleration?

A. -3 m/s²
B. -2 m/s²
C. -1 m/s²
D. -4 m/s²

Solution

First, convert speed to m/s: 60 km/h = 60/3.6 = 16.67 m/s. Using the formula: acceleration = (final velocity - initial velocity) / time = (0 - 16.67) / 5 = -3.33 m/s², approximately -3 m/s².

Correct Answer: A — -3 m/s²

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Q. A train moving with a speed of 72 km/h applies brakes and comes to a stop in 10 seconds. What is the magnitude of its acceleration?

A. -2 m/s²
B. -3 m/s²
C. -4 m/s²
D. -5 m/s²

Solution

First convert speed to m/s: 72 km/h = 20 m/s. Using the formula: acceleration = (final velocity - initial velocity) / time = (0 - 20) / 10 = -2 m/s².

Correct Answer: C — -4 m/s²

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Q. A train moving with a speed of 72 km/h applies brakes and comes to a stop in 10 seconds. What is the acceleration of the train?

A. -2 m/s²
B. -3 m/s²
C. -4 m/s²
D. -5 m/s²

Solution

First convert speed to m/s: 72 km/h = 20 m/s. Using the formula: acceleration = (final velocity - initial velocity) / time = (0 - 20) / 10 = -2 m/s².

Correct Answer: B — -3 m/s²

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Q. A train of mass 1000 kg is moving with a velocity of 36 km/h. What is its kinetic energy?

A. 500 J
B. 1000 J
C. 1800 J
D. 2000 J

Solution

First convert velocity to m/s: 36 km/h = 10 m/s. K.E. = (1/2)mv² = (1/2)(1000 kg)(10 m/s)² = 50000 J.

Correct Answer: C — 1800 J

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Q. A train starts from rest and accelerates uniformly at 2 m/s². What is its speed after 10 seconds? (2021)

A. 10 m/s
B. 20 m/s
C. 30 m/s
D. 40 m/s

Solution

Using the formula: final velocity = initial velocity + acceleration * time. Final velocity = 0 + 2 * 10 = 20 m/s.

Correct Answer: B — 20 m/s

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Q. A train travels 120 km at a speed of 60 km/h and then 180 km at 90 km/h. What is the average speed for the entire journey? (2019)

A. 72 km/h
B. 75 km/h
C. 80 km/h
D. 85 km/h

Solution

Total time = (120/60) + (180/90) = 2 + 2 = 4 hours. Total distance = 120 + 180 = 300 km. Average speed = Total distance / Total time = 300/4 = 75 km/h.

Correct Answer: C — 80 km/h

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Q. A train travels 120 km at a speed of 60 km/h. How long does it take to complete the journey?

A. 1 hour
B. 1.5 hours
C. 2 hours
D. 2.5 hours

Solution

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

Correct Answer: C — 2 hours

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Q. A train travels 120 km at a uniform speed. If it takes 2 hours to complete the journey, what is the speed of the train?

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

Solution

Speed = distance / time = 120 km / 2 h = 60 km/h.

Correct Answer: B — 60 km/h

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Q. A train travels 150 km at a speed of 75 km/h. How long does it take to complete the journey? (2020)

A. 1.5 hours
B. 2 hours
C. 2.5 hours
D. 3 hours

Solution

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

Correct Answer: A — 1.5 hours

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Q. A train travels 60 km at a speed of 30 km/h and then 90 km at a speed of 60 km/h. What is the average speed of the train for the entire journey? (2021)

A. 40 km/h
B. 45 km/h
C. 50 km/h
D. 55 km/h

Solution

Total distance = 60 + 90 = 150 km. Time for first part = 60/30 = 2 hours. Time for second part = 90/60 = 1.5 hours. Total time = 2 + 1.5 = 3.5 hours. Average speed = Total distance / Total time = 150 / 3.5 = 42.86 km/h, which rounds to 45 km/h.

Correct Answer: B — 45 km/h

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Q. A train travels 60 km at a speed of 30 km/h and then travels another 60 km at a speed of 60 km/h. What is the average speed of the train for the entire journey? (2020)

A. 40 km/h
B. 45 km/h
C. 50 km/h
D. 55 km/h

Solution

Total distance = 120 km. Time for first part = 60/30 = 2 hours. Time for second part = 60/60 = 1 hour. Total time = 3 hours. Average speed = Total distance / Total time = 120/3 = 40 km/h.

Correct Answer: B — 45 km/h

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Q. A train travels 60 km in 1 hour. How far will it travel in 2.5 hours at the same speed? (2019)

A. 120 km
B. 150 km
C. 180 km
D. 200 km

Solution

Distance = Speed × Time. Therefore, distance = 60 km/h × 2.5 h = 150 km.

Correct Answer: B — 150 km

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Q. A train travels 60 km in 1 hour. How far will it travel in 2.5 hours? (2019)

A. 120 km
B. 150 km
C. 180 km
D. 200 km

Solution

Distance = Speed × Time. Therefore, distance = 60 km/h × 2.5 h = 150 km.

Correct Answer: B — 150 km

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Q. A train travels at a speed of 60 km/h. How far will it travel in 2.5 hours? (2022)

A. 120 km
B. 150 km
C. 180 km
D. 200 km

Solution

Distance = Speed × Time = 60 km/h × 2.5 h = 150 km.

Correct Answer: B — 150 km

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Q. A train travels at a speed of 72 km/h. How far will it travel in 30 minutes?

A. 12 km
B. 18 km
C. 24 km
D. 36 km

Solution

Distance = speed × time = 72 km/h × 0.5 h = 36 km.

Correct Answer: B — 18 km

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Q. A train travels at a speed of 72 km/h. How long will it take to cover a distance of 180 km?

A. 2 hours
B. 2.5 hours
C. 3 hours
D. 3.5 hours

Solution

Time = distance / speed. Convert speed to m/s: 72 km/h = 20 m/s. Time = 180 km / 72 km/h = 2.5 hours.

Correct Answer: C — 3 hours

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Q. A train travels at a speed of 80 km/h. How far will it travel in 2.5 hours?

A. 200 km
B. 180 km
C. 220 km
D. 240 km

Solution

Distance = speed × time. Therefore, distance = 80 km/h × 2.5 h = 200 km.

Correct Answer: A — 200 km

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Q. A train travels at a speed of 80 km/h. How long will it take to cover a distance of 240 km?

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: B — 3 hours

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Q. A train travels at a speed of 90 km/h and a car at 60 km/h. If they start from the same point and travel in the same direction, how far apart will they be after 1 hour?

A. 30 km
B. 20 km
C. 10 km
D. 40 km

Solution

Relative speed = 90 - 60 = 30 km/h. Distance apart after 1 hour = 30 km.

Correct Answer: A — 30 km

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Q. A train travels at a speed of 90 km/h. How far will it travel in 2.5 hours? (2019)

A. 200 km
B. 225 km
C. 250 km
D. 300 km

Solution

Distance = Speed * Time = 90 km/h * 2.5 h = 225 km.

Correct Answer: B — 225 km

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Q. A train travels at a speed of 90 km/h. How long will it take to cover 270 km? (2020)

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

Solution

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

Correct Answer: B — 3 hours

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Q. A train travels at a speed of 90 km/h. How long will it take to cover 450 km? (2019)

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: C — 6 hours

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Q. A train travels at a speed of 90 km/h. How long will it take to cover a distance of 270 km? (2021)

A. 2.5 hours
B. 3 hours
C. 3.5 hours
D. 4 hours

Solution

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

Correct Answer: B — 3 hours

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Q. A train travels at a speed of 90 km/h. How long will it take to cover a distance of 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 A to City B at a speed of 60 km/h and returns at a speed of 90 km/h. What is the average speed of the train for the entire journey?

A. 72 km/h
B. 75 km/h
C. 80 km/h
D. 85 km/h

Solution

Average speed = 2xy / (x + y) = 2 * 60 * 90 / (60 + 90) = 72 km/h.

Correct Answer: A — 72 km/h

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Q. A train travels from station A to station B, a distance of 300 km, at a speed of 75 km/h. How long does the journey take? (2019)

A. 3 hours
B. 4 hours
C. 5 hours
D. 6 hours

Solution

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

Correct Answer: C — 5 hours

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Major Competitive Exams

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