Quantitative Aptitude – Arithmetic – Time Speed and Distance – Points A, P, Q and B lie on

Slot -2 – Quantitative Aptitude – Arithmetic – Time Speed and Distance – Points A, P, Q and B lie on the same line

Points A, P, Q and B lie on the same line such that P, Q and B are, respectively, 100 km, 200 km and 300 km away from A. Cars 1 and 2 leave A at the same time and move towards B. Simultaneously, car 3 leaves B and moves towards A. Car 3 meets car 1 at Q, and car 2 at P. If each car is moving in uniform speed then the ratio of the speed of car 2 to that of car 1 is?

a) 2 : 7
b) 2 : 9
c) 1 : 4
d) 1 : 2

Answer: c) 1 : 4

Solution:
Car 2 and car 3 meets at Q, so ratio of their speed = AQ : BQ = 200 : 100 = 2:1
Car 1 and car 3 meets at P, so ratio of their speed = AP : BP = 100 : 200 = 1 : 2
So required ratio of speed of car 1 and car 2 = 1 : 4

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