Over a fixed stretch, a boat's upstream and downstream times are in the ratio 3 : 2. If its still-water speed were 2 km/h more, the ratio would become 4 : 3. What is its present speed in still water?

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Accepted Answer

5 km/h. (b + s)/(b − s) = 3/2 ⇒ b = 5s. Then (b + 2 + s)/(b + 2 − s) = 4/3 ⇒ b + 2 = 7s ⇒ 5s + 2 = 7s ⇒ s = 1, b = 5 km/h.

Over a fixed stretch, a boat's upstream and downstream times are in the ratio 3 : 2. If its still-water speed were 2 km/h more, the ratio would become 4 : 3. What is its present speed in still water?

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