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19 February, 03:22

Bob and Ted are in the plumbing business. Bob can do the plumbing hook-up for a new house in 4 hours; Ted does the same job in 6 hours. If they work together, how long will they take to hook up the plumbing in one house? 2.1 hours 2.4 hours 5 hours

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  1. 19 February, 07:05
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    Where 1/4 represents Bob and 1/6 represents Ted ...

    1/4x + 1/6x = 1

    Multiply the two so there is no fraction by the GCF of 12.

    3x + 2x = 12

    Add 3x and 2x.

    5x = 12

    Divide by 5.

    x = 12

    Plug this value in.

    With that, the answer is 2 hours and 24 minutes with x = 12 meaning 144 minutes.
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