Problema Solution

One maid can clean the house in 3 hours. another maid can do the job in 2 hours. How long will it take them to do the job working together ?

Answer provided by our tutors

Let 'x' represent the hours that the maids will need to do the job together, x>0


1/x job per hour is the together rate


1/3 job per hour is the rate of the first maid


1/2 job per hour is the rate of the second maid


1/3 + 1/2 = 1/x

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x = 1.2 hr


x = 1 hr 0.2*60 min


x = 1 hr 12 min


It will take them 1 hour and 12 minutes to do the job together.