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12 November, 07:49

Are you ready for a brain twister? Murphy can row at 5 kmph in still water. If the velocity of current is 1 kmph and it takes him 1 hour to row to a place and come back, how far is the place?

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  1. 12 November, 07:57
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    Distance covered = speed x time

    The distance traveled going against the stream = distance traveled with the stream.

    Therefore it is the speed and the time that are the variables.

    As he travels the same distance both ways, speed x time is the same for each way.

    Going upstream his speed is 4 kph; going downstream his speed is 6 kph.

    Therefore we have two simultaneous equations:

    Time upstream x 4 = Time downstream x 6

    Time upstream + time downstream = 60 minutes

    Therefore we have the equation:

    Time upstream = 6/10 hour, time downstream therefore = 4/10 hour.

    Distance traveled at 4km/hr in 6/10 hour = 24/10 = 2.4km.

    Check: Distance traveled at 6km/hr in 4/10 hour = 24/10 = 2.4km.
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