Question
Time taken by boat to cover 150 km upstream is
three-fifths of the time taken by boat to cover 300 km downstream. If speed of stream is 5 km/h, then find the speed (in km/h) of boat in still water.Solution
Let the speed of boat in still water be 'v' km/h 150 ÷ (v - 5) = (3/5) x [300 ÷ (v + 5)] Or, 150 ÷ (v - 5) = 180 ÷ (v + 5) Or, 5 ÷ (v - 5) = 6 ÷ (v + 5) Or, 5 x (v + 5) = 6 x (v - 5) Or, 5v + 25 = 6v - 30 Or, v = 55
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