Question 1

The length of the train that takes 8 second to pass a pole where it runs at a speed of 36 km/hr is?

Accepted Answer

Speed of the train = (36 x 5)/18 = 10 m/sec. Distance = (Time x Speed ) = (8 x 10 ) = 80 meters ∴ Length of the train = 80 meters

Question 2

A train 280 meters long is moving at a speed of 60 km/hr. The time taken by the train to cross a platform 220 meters long is?

Accepted Answer

∵ Speed of the train = 60 x (5/18) m/sec = 50/3 m/sec ∴ Time taken by the train to cross the platform = Time taken by it to cover (280 + 220) m = (500 x 3/50) sec = 30 sec

Question 3

A train 250 meter long, running with a speed of 50 km/hr will pass an electric pole in?

Accepted Answer

∵ Speed of the train = 50 x (5/18) = 125/9 m/sec ∴ Time taken by the train to pass the pole = 250 x (9/125) = 18 sec

Question 4

A speed of 16 meters per second is the same as?

Accepted Answer

16 m/sec = 16 x (18/5) = 57.6 km/hr

Question 5

A train moves with the speed of 180 km/hr, then its speed in meters per second is?

Accepted Answer

180 km/hr = 180 x (5/18) = 50 m/sec

Question 6

A train running at a certain speed crosses a stationary engine in 20 seconds. To find out the speed of the train, which of the following information is necessary?

Accepted Answer

Since the sum of the length of the train and the length of the engine is needed, so both the lengths must be known.

Question 7

A train 110 metres in length runs through a station at the rate of 36 km per hour. How long will it take to pass a given point?

Accepted Answer

Speed of the train = 36 km/hr = 36 x (5/18) = 10 m/sec ∴ Required time = 110/10 = 11 sec

Question 8

A train 135 metres long is running with a speed of 54 km per hour. In what time will it pass a telegraph post?

Accepted Answer

Distance traveled = length of the train = 135 m Speed of the train = 54 Km/hr = 54 x 5/18 = 15 m/s. Time taken by train = 135 / 15 sec. = 9 sec.

Question 9

A train 550 metres long is running with a speed of 55 km per hour. In what time will it pass a signal post?

Accepted Answer

Distance covered = 550 meter. = 0.55 km Speed of the train = 55 km/hr So time taken = 0.55 / 55 =1/100 hr = (60 x 60 )/100 sec = 36 sec

Question 10

A train 110 metres long travels at 60 km/hr. How long does it take to cross a telegraph post?

Accepted Answer

Time = distance / speed =110 / {60 x 18/5} = 6.6 sec.

Question 11

A train 240 m long passes a bridge 120 m long in 24 sec. Find the speed with which the train in moving?

Accepted Answer

Required speed = (240 + 120) / 24 = 15 m/sec = 15 x (18/5) km/hr = 54 km/hr

Question 12

A train 50 m long passes a platform 100 m long in 10 seconds. The speed of the train in m/sec is?

Accepted Answer

Speed of train = distance covered / time. = (50 + 100) / 10 = 15 m/sec.

Question 13

A train 110 m long travels at 60 km/hr. How long does it take to cross a platform 240 metres long?

Accepted Answer

Distance covered = 110 + 240 = 350 m Speed = 60 km/ph = 60 x (5/18) m/s = 50/3 m/sec. Time = distance / speed = 350 x 3 / 50 = 21 sec.

Question 14

A train 110 metres in length travels at 60 km/hr.In what time will it pass a man which is walking against the train at 6 km an hour?

Accepted Answer

∵ Relative speed of the train = 60 + 6 = 66 km/hr = 66 x 5/18 m/sec = 55/3 m/sec ∴ Required time = 110 x (3/55) = 6 sec

Question 15

Two trains 70 m and 80 m long respectively, run at the rates of 68 km and 40 km an hour respectively, on parallel rails in opposite directions. How long do they take to pass each other?

Accepted Answer

Total distance = 70 + 80 = 150 m Relative speed = 68 + 40 = 108 kmph = 108 x (5/18) = 30 m/s So time taken = 150 / 30 = 5 seconds.

Question 16

A person see a train passing over 1 km long bridge. The length of the train is half that of bridge. If the train clears the bridge in 2 minutes the speed of the train is?

Accepted Answer

Distance covered in 2/60 hours = (1 + 1/2) = 3/2 km Distance covered in 1 hour = (3/2) x (60/2) = 45 km So, speed of the train = 45 km/hr

Question 17

A train 50 meters long passes a platform 100 m long in 10 second. The speed of the train is?

Accepted Answer

Distance covered by train in 10 sec = (50 + 100) = 150 m ∴ Speed = 150/10 m/sec = 15 x (18/5) = 54 km/hr

Question 18

A train covers 90 m in passing a standing man. Find the length of the train.

Accepted Answer

We know that, the distance covered by a train in passing a pole or a standing man or a signal post or any other object (of negligible length) is equal to the length of the train. In this case, train covers 90 m to cross a standing man. ∴ Length of the train = 90 m

Question 19

A 220 m long train passes a signal post in 12 s. Find the speed f the train.?

Accepted Answer

We know that, Speed = Distance/ Time Speed of the train = 220/12 x (18/5) km/h

Question 20

A 240 m long train crosses a platform of equal length in 27 s. What is the speed of the train in km/h?

Accepted Answer

By the formula, speed= Distance/ Time = (240 + 240)/27 x (18/5) = 480/27 x 18/5 = 64 km/h

Problems on Trains Questions