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

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 minutes, taken by car 1 in reaching P from A is

Accepted Answer

12 — Let distance between A and P be &lsquo;x&rsquo; kms. Therefore, distance between P and B = (3x) kms Let car 1 reaches point P in &lsquo;t&rsquo; minutes. Therefore, car 2 takes (t + 60) minutes to reach P. Speed of car 1 = x/t and speed of car 2 = 3x/(t + 60) Hence, x 2 t = 3 x t + 60 Solving this, we get t = 12 minutes. Hence, 12.

CAT 2018 Slot 1 — QA Question 2

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