P is faster than Q P and Q each walk 24 km The sum of their speeds is 7 km hr and the sum of times t...........

Quant (SSC) Time & distance

P is faster than Q. P and Q each walk 24 km. The sum of their speeds is 7 km/hr and the sum of times taken by them is 14 hours. Then, P's speed is equal to ?

3 km/hr

4 km/hr

5 km/hr

6 km/hr

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Explanation:

Let P's speed = x km/hr. Then, Q's speed = (7 - x) km/ hr.
So, 24/x + 24/(7 - x) = 14
x2 - 98x + 168 = 0
(x - 3)(x - 4) = 0 => x = 3 or 4.
Since, P is faster than Q,
so P's speed = 4 km/hr and Q's speed = 3 km/hr.

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