Problema Solution

bob can mop the floor in 7 minutes. together bob and josh can op the floor in 5 minutes.how long does it take josh to mop the floor alone?

Answer provided by our tutors

let


j = min that Josh needs to mop the floor alone


the rate of Bob is 1/7 floors per min


the rate of Josh is 1/n floors per min


the together rate is 1/5 floors per min


1/7 + 1/j = 1/5


by solving we find


j = 17.5 min


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Josh needs 17.5 min to mop the floor alone.