Problema Solution

Pat can paint 4 rooms and 10 hours. If he hires April to help, they can do the same job together and six hours. If April works alone, how long will it take her?

Answer provided by our tutors

let 'a' represent the hours April needs to do the work alone thus her rate is 1/a


the rate of Pat is is 1/10


the together rate is 1/6


1/a + 1/10 = 1/6


by solving we find


a = 15 hr


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April will need 15 hours to do the work alone.