Question
Time taken by boat to cover 84 km upstream is half of
the time taken by boat to cover 252 km downstream. If speed of stream is 4 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 84 ÷ (v - 4) = (1/2) x [252 ÷ (v + 4)] Or, 84 ÷ (v - 4) = 126 ÷ (v + 4) Or, 2 ÷ (v - 4) = 3 ÷ (v + 4) Or, 2 x (v + 4) = 3 x (v - 4) Or, 2v + 8 = 3v - 12 Or, v = 20
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