A train of length 150 metres, moving at a speed of 90 km/hr can cross a 200 metre bridge in

examrobotsa's picture

Submitted by examrobotsa on

Q: 34 (IAS/2002)
A train of length 150 metres, moving at a speed of 90 km/hr can cross a 200 metre bridge in

question_subject: 

Maths

question_exam: 

IAS

stats: 

0,17,15,4,17,6,5

keywords: 

{'metre bridge': [0, 0, 1, 0], 'train': [0, 1, 6, 2], 'speed': [0, 1, 2, 0], 'metres': [0, 1, 1, 0], 'length': [0, 0, 1, 0], 'km': [0, 0, 2, 1], 'seconds': [3, 3, 8, 6], 'hr': [0, 1, 2, 1]}

To find the time it takes for the train to cross the bridge, we need to calculate the total distance the train needs to cover.

The length of the train is 150 meters, and it needs to cross a 200-meter bridge. So, the total distance the train needs to cover is 150 meters (train length) + 200 meters (bridge length) = 350 meters.

The speed of the train is given as 90 km/hr, which we need to convert to meters per second (m/s).

1 kilometer = 1000 meters

1 hour = 3600 seconds

Therefore, the speed of the train is (90 * 1000) / 3600 = 25 m/s.

Now, we can calculate the time it takes for the train to cross the bridge using the formula:

Time = Distance / Speed

Time = 350 meters / 25 m/s = 14 seconds

Therefore, the train can cross the 200-meter bridge in 14 seconds.