A fisherman can row upstream at 2mph and downstream at 8mph. He started rowing upstream till he got tired and the rowed downstream to his st

Question

A fisherman can row upstream at 2mph and downstream at 8mph. He started rowing upstream till he got tired and the rowed downstream to his starting point. How far did the fisherman row if the entire trip took 2 hours

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Vodka 5 months 2021-08-24T01:40:39+00:00 1 Answers 12 views 0

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    2021-08-24T01:42:28+00:00

    Answer:

    The fisherman row 6.4 miles total.

    Step-by-step explanation:

    Let the distance from his starting point to the  point he turn around is “d” miles.

    Given  upstream speed is 2 mph and downstream speed is 8 mph.

    We now that  time  =  distance /speed

    So  the time required to row “d “miles upstream = d/2 hours

       The time required to row “d” miles downstream  = d/8 hours.

    As the entire trip  took  2 hours  so the equation will be :

      d/2 +d/8  =  2

      ( 4d + d ) /8 =   2

      5d  =  16

      d  =   16/ 5 = 3.2 miles

    So the fisherman rowed a total of  ( 3.2 x 2 ) miles =  6.4 miles.

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