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29 February, 19:50

Working alone, Dan can sweep a porch in

15 minutes. Alberto can sweep the same

porch in 11 minutes. If they worked

together how long would it take them?

+2
Answers (1)
  1. 29 February, 23:48
    0
    It will take them 6.35 minutes

    Step-by-step explanation:

    The question can be solved when you know how much of the job can be done in minutes.

    Therefore if Dan can do the job in 15 minutes he will be to sweep 1/15 of the porch in 1 minutes. Alberto can do the same job in 11 minutes, in 1 minutes he will do 1/11 of the job.

    let

    a = combined time together

    1/15 + 1/11 = 1/a

    (11 + 15) / 165 = 1/a

    26/165 = 1/a

    cross multiply

    26a = 165

    divide both sides by 26

    a = 165/26

    a = 6.34615384615

    a ≈ 6.35 minutes

    It will take them 6.35 minutes
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