Question 107

A 400 m long train can cross a pole in 10 seconds. Find the time that this train will take to overtake a train of length 300m which is running at the speed of 72 km/hr in the same direction as that of the first train?

Solution

Let the speed of the first train be v m/s
Then
400/10 = v
=> v = 40 m/s
Now the speed of the second train = 72 km/hr = 20 m/s
Since both the trains are running in the same direction, the relative speed between the two trains is 40 - 20 = 20 m/s
Distance to be covered = 400 + 300 = 700m
Hence the required time = 700/20 = 35 seconds.

View More Questions From Speed Time Distance Work

Create a FREE account and get:

  • Download Maths Shortcuts PDF
  • Get 300+ previous papers with solutions PDF
  • 500+ Online Tests for Free