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7 August, 17:42

Eva and emily can clean the entire house in 4 hours. Eva can do it by herself in 6 hours. How long would it take emily to do it by herself?

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  1. 7 August, 20:49
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    Let x = the number of hours Eva needs to complete the job

    and y = the number of hours Emily needs to complete the job

    x = 6

    1/x + 1/y = 1/4

    (The amount of work Eva does in 1 hr + the amount of work Emily does in 1 hr should equal 1/4 of the total work)

    1/6 + 1/y = 1/4

    1/y = 1/12

    y = 12 hours

    Emily would take 12 hours to do it by herself.
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