SOLUTION: a motorboat traveled for 2 hours with an 8 km/h current. the return trip against the same current took 3 hours. find the speed of the motorboat in still water.

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 Click here to see ALL problems on Systems-of-equations Question 5001: a motorboat traveled for 2 hours with an 8 km/h current. the return trip against the same current took 3 hours. find the speed of the motorboat in still water.Answer by xcentaur(357)   (Show Source): You can put this solution on YOUR website!let the speed of the motorboat be x kmph the speed of the current be y kmph = 8 kmph now,journey with the current: speed=x+y=(x+8)kmph,time=2 hours d=2(x+8)=(2x+16)km now considering return journey: speed=x-y=(x-8)kmph,time=3 hours distance=3(x-8)=(3x-24)km but the distance in both cases must be the same, hence 2x+16=3x-24 16+24=3x-2x x=40 kmph Thus speed of the motorboat in still water=40kmph Hope this helps, good luck.