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CAT-2002-Previous Years Paper
A train approaches a tunnel AB. Inside the tunnel is a cat located at a point that is of the distance AB measured from the entrance A. When the train whistles the cat runs. If the cat moves to the entrance of the tunnel A, the train catches the cat exactly at the entrance. If the cat moves to the exit B, the train catches the cat at exactly the exit. The speed of the train is greater than the speed of the cat by what order?
|D||None of these|
Let tunnel be = 8 km and speed of cat = 1 km/h
Time taken to reach the entrance of the tunnel by the cat = 3 h
Time taken to reach the exit of the tunnel by the cat = 5 h
Train will cover the sum (length of tunnel) = 2 h
Therefore, the ratio of the speeds of the train and the cat = 4:1
Speed of the train is greater by 3:1 than that of the cat.