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19 January, 10:49

A boat traveled downstream a distance of 80 mi and then came right back. If the speed of the current was 8 mph and the total trip took 5?

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  1. 19 January, 11:48
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    Answer: Average speed of boat = 32mph

    Step-by-step explanation: Full question: 5 hours 20mins. Find the average speed of the boat

    Let average speed of boat be mph

    Let time to travel downstream = 80 / (x + 8)

    Let time to travel upstream = 80 / (x - 8)

    Total time = 51/3 hrs=16/3 hrs

    80 / (x + 8) + 80 / (x-8) = 16/3

    Multiply both sides with3 (*+8) (x-8)

    (X+8) (x-8) = (x+8) (x-8) / 16

    15 (2x) = x^2-64

    X^2 - 30x - 64 = 0

    Factorizing, you get

    (x - 32) (x + 2) = > * =32 or x = - 2

    x = 32mph
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