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1 July, 09:08

Lisa can make a costume twice as fast as Justin can. If they both work together, they can make it in 8 hours. How long will it take Justin to make the costume if he works alone?

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  1. 1 July, 09:16
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    Hi,

    Concept: This is work & time related problem which can be solved in their inverse proportions.

    Let Lisa can do a work in x hours.

    Lisa's one hour work = 1 / x

    According to the problem, Justin can do the same work in 2x hours.

    Justin's one hour work = 1 / (2x)

    Now, we shall find both 1 hour work just by adding their 1 hour's work.

    Both 1 hour's work = (1 / x) + [1 / (2x) ] = 3 / (2x)

    Full works time = (2x / 3) hours.

    Again, according to the problem,

    2x / 3 = 8

    or, x = 12 hours.

    Hence Justin will take 2x = 24 hours to complete work as alone.
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