You ride a bike at a constant speed of u m/s and a train is running at a constant speed - Science - Motion

Question

You ride a bike at a constant speed of u m/s and a train is running
at a constant speed of v m/s When you ride a bike in the same
direction as the train, it takes the train five times the time to
pass you as it does when you are riding in the opposite direction
Find how many times faster than the bike is the train (that is find
the ratiovu)

Vara · Accepted Answer

LetLength of the train=xCase I: (Same direction)Time taken to to pass, t1=xv-uCase II: (Opposite direction)Time taken to to pass, t2=xv+uGiven that,t1=5t2xv-u=5xv+u1v-u=5v+uv+u=5v-5u6u=4vvu=64     =32