CAT 2018 Time, Speed and Distance Question (Medium)

Question

Point P lies between points A and B such that the length of BP is thrice that of AP. Car 1 starts from A and moves towards B. Simultaneously, car 2 starts from B and moves towards A. Car 2 reaches P one hour after car 1 reaches P. If the speed of car 2 is half that of car 1, then the time, in minute

Accepted Answer

Step 1 Let the distance from A to P be x. Then distance from B to P 3x since BP is thrice AP . Let speed of car 1 s Then speed of car 2 s 2 Time taken by car 1 to reach P x s Time taken by car 2 to reach P 3x s 2 6x s Step 2 Given Car 2 reaches P one hour after car 1 So 6x s x s 1 6x x s 1 5x s 1 x

CAT 2018

Quantitative

Time, Speed and Distance

Medium

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