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Question

A motor boat whose speed in still water is 18 km/hr, takes 1 hour more to go 24 km upstream than o return to the same spot. Find the speed of the stream.

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Solution

Let the speed of the stream be x km/hr.Given:Speed of the boat = 18 km/hr Speed downstream = (18 + x) km/hr Speed upstream = (18 x) km/hr 24(18 x) 24(18 + x) = 1 1(18 x) 1(18 + x) = 124 18 + x 18 + x(18 x)(18 + x) = 124 2x182 x2 = 124 324 x2 = 48x 324 x2 48x = 0 x2 + 48x 324 = 0 x2 + (54 6)x 324 = 0 x2 + 54x 6x 324 = 0 x(x + 54) 6(x + 54) = 0 (x + 54)(x 6) = 0 x = 54 or x = 6The value of x cannot be negative; thereore, the speed of the stream is 6 km/hr.

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