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A streamer goes downstream and covers a distance between two ports in 4 hours while it covers the same distance upstream in 5 hours. If the speed of the stream is 2 km/h, find rhe speed of the stream on still water |
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Answer» f the STREAMER in still water = xSpeed of stream = 2kmphDownstreamSpeed = x+2Time = 4 Hours DISTANCE = d = 4(x+2) (We know that distance = speed * time ) equation 1 Upstream Speed = x-2 (Syream acts against the boat)Time = 5 hours Distance = d = 5(x-2) equation 2Equating equation 2 and 1 since d=dTherefore, 5x-10=4x+8= 5x-10-4x=8= x = 8+10=18Therefore x=18 I.e The speed of the boat/streamer in still water is 18KMPH |
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