Thursday, April 15, 2010

Tunnel Trouble

A man needs to go through a train tunnel to reach the other side. He starts running through the tunnel in an effort to reach his destination as soon as possible. When he is 1/4th of the way through the tunnel, he hears the train whistle behind him. Assuming the tunnel is not big enough for him and the train, he has to get out of the tunnel in order to survive. We know that the following conditions are true.

1. If he runs back, he will make it out of the tunnel by a whisker.
2. If he continues running forward, he will still make it out through the other end by a whisker.

What is the speed of the train compared to that of the man?

1 comment:

  1. The man covers 3 quarters of the tunnel in the time that the train covers the entire (4 quarters ) of the tunnel. Hence the speed of train compared to the man is in ratio 4/3

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