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It took a crew 2 hours and 15 minutes to row 3 km upstream and back again if the rate of flow of the stream was 1 km h what was the rowing speed of the crew in still water?
Let the rowing speed of the crew in still water be ( r ) km/h. When rowing upstream, the effective speed is ( r - 1 ) km/h, and downstream, it is ( r + 1 ) km/h. The total time for the trip is given as 2 hours and 15 minutes, which is 2.25 hours. The time taken to row 3 km upstream is ( \frac{3}{r - 1} ) and downstream is ( \frac{3}{r + 1} ). Thus, the equation is: [ \frac{3}{r - 1} + \frac{3}{r + 1} = 2.25 ] Solving this equation will give the rowing speed ( r ). The solution yields ( r = 2 ) km/h.
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