Ben takes 6hrs to get a job done & Ted takes 11hrs to get the same job done. If they work together how long will it take them?

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  1. What can be added is the rate of work.
    This is how much work each finishes in an hour.

    Ben's rate + Ted's rate
    = 1/6+1/11
    = 17/66
    Together they do 17/66 of the work in an hour.

    So time it takes to get the work done
    = 1/(17/66)
    = 66/17
    = 3 15/17 hours

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