Train Passes through a Bridge | Solved Examples on Train Crossing a Bridge

Looking for help on the concept Train Passes through a Bridge then you can find all of it here. Refer to Solved Examples on How to find the Speed Time and Distance when a Train Crosses a Bridge. We have provided solutions for all the Problems covered on the concept of Train Passing through a Bridge. or Tunnel or any Stationary Object.

In this case, the Length of the Train and Length of the Bridge are added to get the Distance. Practice the Train Passes through a Bridge Problems with Answers and get the elaborate explanation provided to understand the concept better.

How to Solve Train Passing through a Bridge or Tunnel Problems?

Let us consider the Length of the Train = x meters

Length of the Stationary Object = y meters

The Speed of the Train is z km/hr

Time Taken by the Train to Cross the Bridge = (Length of Train + Length of Bridge)/Speed of Train

= (x+y)m /z km/hr

To change between km/hr to m/sec multiply with 5/18

Solved Examples on Train Crossing a Stationary Object having Some Length

1. A train 250 m long crosses a bridge which is 100 m long in 50 seconds. What is the speed of the train?

Solution:

Length of the Train = 250 m

Length of the Bridge = 100 m

Speed of the Train = (Length of the Train+Length of Stationary Object)/Time

= (250 m+100 m)/50

= 350 m/50 sec

= 7 m/sec

2. A train 260 m long is running at a speed of 40 km/hr. What time will it take to cross an 80 m long tunnel?

Solution:

Length of the Train = 260 m

Speed of the Train = 40 km/hr

= 40 *5/18 m/sec

= 11.11 m/sec

Length of the Tunnel = 80 m

Time = Distance/Speed

= 260 m/11.11 m/sec

= 23.40 sec

Train takes 23.40 sec to travel the tunnel.

3. Find the time taken by a 180 m long train passes through a bridge which is 75 m long, running at a speed of 54 km/hr?

Solution:

Length of the Train = 180 m

Length of the Bridge = 75 m

Speed of the Train = 54 km/hr

Speed of train in m/sec = 54*5/18

= 15

Time = Distance/Speed

= 225 m/15 m/sec

= 9 sec

Therefore, train takes 9 sec to cross the bridge.

4. A 120 m long train is running at a speed of 45 km/hr. If it takes 20 seconds to cross a platform, find the length of the platform?

Solution:

Speed of the Train = 45 km/hr

Speed of Train in m/sec = 45*5/18

= 12.5 m/sec

Time taken to cross the platform = 20 sec

Length of the Train = 120 m

Consider the Length of Platform = x

Speed = (Length of Train +Length of Platform)/Time

12.5 m/sec = (120+x)/20

12.5*20 = 120+x

250 = 120+x

x = 250 – 120

= 130 m

Therefore, Length of Platform is 130 m.

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