10 men & 15 women need 6 days to do a job. 1 man need 100 days to do the job. How many days does 1 woman need?

Update:

The answer is supposed to be 225. I don't know how it's coming. Pls explain.

5 Answers

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  • 1 decade ago
    Favorite Answer

    Let a woman take x days to complete the job

    amount of work done by 1 woman in 1 day = 1/x

    amount of work done by 15 women in 1 day = 15/x..........(1)

    1 man takes 100 days to complete the job

    Amount of work done by 1 man in 1 day = 1/100

    Amount of work done by 10 men in 1 day = 10/100= 1/10 ....(2)

    10men & 15 women take 6 days to complete the job

    amount of work done by them in one day = 1/6 ..........(3)

    from (1), (2) & (3) we get

    (15/x) + (1/10) = 1/6

    (150 + x )/10x = 1/6

    900 + 6x = 10x

    4x = 900

    x = 225

    No. of days taken by 1 woman = 225 days

  • ?
    Lv 7
    1 decade ago

    Assuming for the sake of the problem that all men do the same amount of work and all women do the same amount of work, and making certain other assumptions about men and women, ...

    Let m = the work one man does per day, and

    Let w = the work one woman does per day.

    It takes a certain amount of work to complete the job, and we're told that this amount of work is 100m, and it's also 6(10m + 15w). So,

    6(10m + 15w) = 100m

    40m = 90w. So,

    100m = 225w.

    So, it takes one of these women 225 days to complete the job.

  • Anonymous
    1 decade ago

    100/10=10

    10-6=4

    4x15=60 days

  • 1 decade ago

    60 - sixty

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  • 1 decade ago

    ask from those women

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