# Point P lies between points A and BCAT Quantitative Aptitude – Arithmetic– Time Speed and Distance

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## CAT 2018 - Slot-1 - Arithmetic - Question-4 -Point P lies between points A and B

Q. 4: 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

Ratio of time taken by car 1 and car 2 = (x/2v) : (3x/v) = 1 : 6 = t : 6t

Given 6t – t = 60 minutes

Or 5t = 60

Thus t = 12 minutes

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