Two Cars Meeting Point
CAT 2019 Slot 1 · Quantitative Ability · Easy · Speed, Time and Distance
This is an easy Quantitative Ability question from the CAT 2019 Slot 1 paper. It tests Speed, Time and Distance. The full answer key and a step-by-step explanation are below — try it yourself first, then reveal the solution.
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:
12
Explanation
Let , so . Let speed of Car 1 = , speed of Car 2 = . Time taken by Car 1 to reach P: . Time taken by Car 2 to reach P: . Given hour = 60 minutes. minutes. So Car 1 takes 12 minutes to reach P from A.
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