A and B are 15 kms apart and when travelling towards each other meet after half an hour whereas they...........

Quantitative Aptitude (CGL) Time & distance

A and B are 15 kms apart and when travelling towards each other meet after half an hour whereas they meet two and a half hours later if they travel in the same direction. The faster of the two travels at the speed of

15 km/hr

18 km/hr

10 km/hr

8 km/hr

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Explanation:

Let the speed of A be x km/ hr and speed of B be y km/hr
So, According to the question,
15x+y=12
x+y=30...........1
and
15x−y=52
5x−5y=30...........2
multiply equation 1 by 5 and add
x = 18 km/hr
and y = 30−x
= 30−18 = 12 km/hr