Problema Solution

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

Answer provided by our tutors

let


n = min that Nancy needs to mop the floor alone


the rate of Betty is 1/7 floors per min


the rate of Nancy is 1/n floors per min


the together rate is 1/5 floors per min


1/7 + 1/n = 1/5


by solving we find


n = 17.5 min


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Nancy can mop the floor in 17.5 min.