Jack can build 1/5 of a shed in the same time Kyle build 5/8 of a shed. How much of a shed will jack have built when Kyle has finished build

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Jack can build 1/5 of a shed in the same time Kyle build 5/8 of a shed. How much of a shed will jack have built when Kyle has finished building 1 shed.

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Thiên Hương 4 days 2021-07-18T23:32:05+00:00 1 Answers 1 views 0

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    2021-07-18T23:33:26+00:00

    Answer:

    Step-by-step explanation:

    If Kyle can get 5/8 of a shed built in x amount of time, he can get 62.5% done; if Jack can get 1/5 of the shed built in the same time, he can 20% of it done. As a ratio:

    \frac{Kyle}{Jack}:\frac{62.5}{20}  Kyle gets the whole thing done, 100% of the way, leaving Jack lagging behind at a somewhat lower percentage of the work being done.

    \frac{Kyle}{Jack}:\frac{62.5}{20}=\frac{100}{x} and cross multiply to solve for the percentage of the shed built by Jack by the time Kyle gets it completed:

    62.5x = 2000 so

    x = 32%

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