A is faster than B. A and B 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, A’s speed is equal to:

A 3 km/hr

B 4km/hr

C 5 km/hr

D 7 km/hr

Solution

Correct Answer: Option B

Let,

A's speed = x km/hr. Then, B'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, A is faster than B, so A's speed = 4 km/hr and B's speed = 3 km/hr

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