Diane swim 5 kilometers against the current in the same amout of time it took her to swim 15 kilometers with the current . The rate of the c

Question

Diane swim 5 kilometers against the current in the same amout of time it took her to swim 15 kilometers with the current . The rate of the current was 2 kilometers per hour. How fast would diane swim if there were no current?

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Đan Thu 3 years 2021-07-20T04:51:51+00:00 1 Answers 12 views 0

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  1. giabao
    0
    2021-07-20T04:53:37+00:00
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    Answer:

    4 km/hr

    Explanation:

    suppose ‘s’ is Diane’s speed with no current.

    ‘t’ represents time in hrs.

    Using the formula:

    Distance = speed ‘s’ x time ‘t’

    -> when she swims against the current, equation will be,

    5= (s-2)t

    t= 5/(s-2)

    ->when she was swimming with the current, equation is,

    15= (s+2) t

    t= 15/(s+2)

    equating eq(1) and (2)

    5/(s-2) = 15/(s+2)

    5s + 10 = 15s – 30

    40= 10s

    s= 40/10

    s=4

    Therefore, if there were no current, her speed is 4km/hr

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