Question
Time taken by boat to cover 72 km upstream is half of
the time taken by boat to cover 216 km downstream. If speed of stream is 6 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 72 ÷ (v - 6) = (1/2) x [216 ÷ (v + 6)] Or, 72 ÷ (v - 6) = 108 ÷ (v + 6) Or, 2 ÷ (v - 6) = 3 ÷ (v + 6) Or, 2 x (v + 6) = 3 x (v - 6) Or, 2v + 12 = 3v - 18 Or, v = 30
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