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2 July, 12:36

Mike is 7.5 miles ahead of julia running at 5.5 miles per hour and julia is running at the speed of 6 miles per hour. How long does it take julia to catch mike.

The answer is 15 hours but I am unsure as to why, can someone explain?

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  1. 2 July, 12:46
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    15 hours.

    Step-by-step explanation:

    Suppose the time taken to catch Mike is t hours and the distance ran by Mike is x miles then

    5.5 = x / t (Mike) - - - ... (1)

    6 = (x + 7.5) / t (Julia) ... (2)

    From equation (1):

    x = 5.5t ... (3).

    From equation (2):

    x + 7.5 = 6t

    x = 6t - 7.5 ... (4).

    Eliminating x from equations 3 and 4:

    6t - 7.5 = 5.5t

    0.5t = 7.5

    t = 15 hours.
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