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27 October, 07:19

elise takes 12 minutes to rake up and bag a pile of leaves her sister katherine takes twice as long, how many minutes would it take both of them working together to complete 10 bags of leaves?

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  1. 27 October, 07:44
    0
    80 minutes

    Step-by-step explanation:

    Rate and Time are inverses of each other

    First,

    Elise Time = 12

    and

    Katherine Time = 2 * 12 = 24

    Their rates would be (inverses):

    Elise Rate = 1/12

    Katherine Rate = 1/24

    Together their rate is 1/12 + 1/24 = 3/24

    Now, the inverse of this rate would be the time it takes to complete 1 bag together, that is:

    (3/24) ^ - 1 = 24/3 = 8 minutes

    So, 10 bags would take them:

    8 * 10 = 80 minutes
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