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4 July, 17:16

The number of hours required to do a job varies inversely as the number of people working. It takes 8 hours for 4 people to paint the inside of a house. How long would it take 5 peole to do the job?

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  1. 4 July, 17:36
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    Answer: it will take 5 people 6.4 hours to do the work.

    Step-by-step explanation:

    The number of hours required to do a job varies inversely as the number of people working. Let h represent the number of hours required to do the job. Let p represent the number of people working. Therefore,

    h is inversely proportional to p

    Introducing a constant of variation, k, it means that

    h = k/p

    It takes 8 hours for 4 people to paint the inside of a house. Therefore

    8 = k/4

    k = 8*4 = 32

    The formula becomes

    h = 32/p

    To determine how many hours it will take 5 people to do the work, we will substitute p = 5 into the formula. It becomes

    h = 32/5 = 6.4 hours
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