Ghats X and Y are 60 km apart, with X upstream. Two boats, each 12 km/h in still water, leave X and Y at the same time towards each other; on reaching the far ghat each turns back at once. The river flows at 3 km/h. How far from X do they meet for the second time?

Question

Accepted Answer

22.5 km. Boat from X: down at 15 (4 h), then up at 9. Boat from Y: up at 9, reaching X at 6⅔ h, then down at 15. At 6⅔ h the first boat is 60 − 9 × 2⅔ = 36 km from X. Closing at 24 km/h ⇒ 1.5 h, in which the second boat goes 15 × 1.5 = 22.5 km from X.

Ghats X and Y are 60 km apart, with X upstream. Two boats, each 12 km/h in still water, leave X and Y at the same time towards each other; on reaching the far ghat each turns back at once. The river flows at 3 km/h. How far from X do they meet for the second time?

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