A is faster than B. A and B each walk 24 km. The sum of

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:

Let, A’s speed = x kmph.
∴ B’s speed = (7 – x) kmph

Time =	Distance
	Speed

According to the question,

24	+	24	= 14
x		7 − x

⇒ 24		7 − x + x		= 14
		x(7 − x)

⇒	24 × 7	= 14
	x(7 − x)

⇒ x (7 – x) = 12 = 4 × 3 or 3 × 4
⇒ x (7 – x) = 4 (7 – 4) or 3 (7 – 3)
⇒ (7 – 4) or 3 (7 – 3)
∴ A’s speed = 4 kmph.