A train was approaching a tunnel with certain velocity. A dog was sitting inside the tunnel at a distance of 2L/5 from the start of the tunnel, where L is the length of the tunnel. Unfortunately dog can't escape from the tunnel safely. If it starts running towards the direction of train, it will be killed at the opening of the tunnel and if it starts running to the other end then the death will follow him. From the given conditions in the example calculate the ratio of velocities of the train and the dog.
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Assuming The time taken to run towards and away from train is same. So let that time be 't'. Let the speed of dog be vd , of train be vt.
When dog runs towards the train t=(2l/5)/(vt-vd)
" " " away from train t=3l/5/(vt+vd)
Solving above two equations we get vt/vd=5:1
When dog runs towards the train t=(2l/5)/(vt-vd)
" " " away from train t=3l/5/(vt+vd)
Solving above two equations we get vt/vd=5:1
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