A motorboat and a raft leave village P together, going downstream. The boat (10 km/h in still water) reaches Q, 24 km away, turns round at once and heads back. The river flows at 2 km/h. How far from P does the boat meet the raft?

Question

Accepted Answer

8 km. P to Q: 24 ÷ 12 = 2 h; the raft is then 4 km from P. Gap = 20 km; closing speed = (10 − 2) + 2 = 10 km/h ⇒ 2 h more. Raft has drifted 4 h × 2 = 8 km.

A motorboat and a raft leave village P together, going downstream. The boat (10 km/h in still water) reaches Q, 24 km away, turns round at once and heads back. The river flows at 2 km/h. How far from P does the boat meet the raft?

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