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 km/hr.
Then,
B's speed = (7 - x) km/hr.
So,
24/x + 24/(7 - x) = 14
⇒ {24(7 - x) + 24x} = 14x(7 - x)
⇒ 168 - 24x + 24x = 98x - 14x²
⇒ 14x² - 98x + 168 = 0
⇒ x² - 7x + 12 = 0
⇒ x² - 4x - 3x + 12 = 0
⇒ x(x - 4) - 3(x - 4) = 0
⇒ (x - 3) (x - 4) = 0
⇒ x = 3 or x = 4
Since A is faster than B, so A's speed = 4 km/hr and B's speed = 3 km/hr.