In a stream runing 2 km/h a motorboat goes 6 km upstream and back again to the starting point in 33 minutes. find the speed of motorboat in still water
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Let the speed of the motorboat in still water be x kmph.
Then, speed downstream = (x + 2) kmph.
Speed upstream = (x - 2) kmph.
:. 6/(x + 2) + 6/(x - 2) = 33/60 0r 11X2 – 240x – 44=0
11X2 – 242X + 2X –44 =0 or 11x(x – 22) + 2(x – 22) = 0
or (x-22)(11x+2)=0 or x=22.
:. Speed of motorboat in still water = 22 kmph.
Then, speed downstream = (x + 2) kmph.
Speed upstream = (x - 2) kmph.
:. 6/(x + 2) + 6/(x - 2) = 33/60 0r 11X2 – 240x – 44=0
11X2 – 242X + 2X –44 =0 or 11x(x – 22) + 2(x – 22) = 0
or (x-22)(11x+2)=0 or x=22.
:. Speed of motorboat in still water = 22 kmph.
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