Problems on Trains (Solved)

A train whistles when it is at a certain distance from a tunnel XY. A cat is sitting inside the tunnel at a distance of 5/12 of the length of the tunnel as measured from the entrance X. If the cat runs towards the entrance, the train catches it at point X. And, if it runs towards the exit, then the train catches it at the point Y. What is the ratio of the speed of the train to that of the cat?

Question

A train whistles when it is at a certain distance from a tunnel XY. A cat is sitting inside the tunnel at a distance of 5/12 of the length of the tunnel as measured from the entrance X. If the cat runs towards the entrance, the train catches it at point X. And, if it runs towards the exit, then the train catches it at the point Y. What is the ratio of the speed of the train to that of the cat?

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Solution

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