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In a stream running at 2kmph,a motor boat goes 6km upstream and back again to the starting point in 33 minutes. Find the speed of the motorboat in still water.

A. 18 km/hr

B. 23 km/hr

C. 22 km/hr

D. 28 km/hr

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Correct Answer :

C. 22 km/hr

let the speed of the motorboat in still water be x kmph.then,

6/x+2 +6/x-2=33/60

11x²-240x-44=0

11x²-242x+2x-44=0

(x-22)(11x+2)=0

x=22.

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