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
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
Updated On: Sep 30, 2024
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Correct Answer: 12
Solution and Explanation
Let the time taken for car 1 to reach P from A be x hours.
Speed of car 1=AP/x
Given BP=3AP
Car 2 starts from B to A and reaches P one hour after car 1 reaches P.
Speed of car 2 = 3AP/x+1
Therefore, 3AP/x+1 = 1/2(AP/x)
Or x = 1/5 Time taken for car 1 to reach P from A is 12 min
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