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Thread: Work Rate Question

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    Trying to make mom and pop proud
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    Work Rate Question

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    I cant seem to get my head around these questions.Can somebody please provide a detailed explanation of these questions?

    1.Pump A can empty a pool in 8 minutes.Pump B can empty a pool in 6 minutes.Pump A pumps the pool for 2 minutes before pump B joins in.How may minutes will it take to empty the pool together?
    2.Working alone jerry can complete a work in 6 minutes.Working alone ,Adam can complete a work in 8 minutes.Working together,Jerry leaves the work after 2 minutes.How long will it take Adam to complete the work?

    Thanks.

  2. #2
    Trying to make mom and pop proud
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    Re: Work Rate Question

    Assuming the pool has a capacity of X (whatever the unit is), pump A take out X/8 every minute, and pump B can take out X/6 every minute.

    Pump A does the work for 2 minutes first, and take out X/4 in the first 2 minutes, 3X/4 left in the pool

    Pump A and B will take out (X/8) + (X/6) = 7X/24 combined every minute

    (3X/4) / (7X/24) = 18/7 minutes

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