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?
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?
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?
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
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?
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.