Question
A boat takes 30 hours to move 300 km upstream. If the
boat doubles its speed, then it covers 300 km downstream in 6 hours. Find the speed of the stream.Solution
Upstream speed = 300 ÷ 30 = 10 km/h Let boat’s speed in still water = 'x' and stream speed = 'y'. So, x - y = 10 ...... (I) Downstream speed when doubled = 300 ÷ 6 = 50 So, 2x + y = 50 ......... (II) Adding (I) and (II): 3x = 60 x = 20 So, 20 - y = 10 y = 10 Stream speed = 10 km/h
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