It takes 60 minutes for 7 people to paint 5 walls. How many minutes does it take 10 people to paint

Discussion in 'Calculator Requests' started by math_celebrity, Jul 1, 2020.

  1. math_celebrity

    math_celebrity Administrator Staff Member

    It takes 60 minutes for 7 people to paint 5 walls. How many minutes does it take 10 people to paint 10 walls?

    Rate * Time = Output

    Let "Rate" (r) be the rate at which one person works.

    So we have:
    7r * 60 = 5

    Multiply through and simplify:
    420r = 5

    Divide each side by 5 to isolate r:
    r = 1/84

    So now we want to find out how many minutes it takes 10 people to paint 10 walls using this rate:
    10rt = 10

    With r = 1/84, we have:
    10t/84 = 10

    Cross multiply:
    10t = 840

    To solve for t, we type this equation into our search engine and we get:
    t = 84 minutes
     

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