Problema Solution

Jack usually mows his lawn in 5 hours. Marilyn can mow the same yard in 7 hours. How much time would it take for them to mow the lawn together?

Answer provided by our tutors

Let x represent the number of hours Jack and Marilyn need to mow the lawn together, x>0


1/x lawn per hours is the together rate


1/5 lawn per hour is Jack's rate


1/7 lawn per hour is Marilyn's rate


1/5 + 1/7 = 1/x

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x = 2.92 hr


Jack and Marilyn can mow the lawn together is 2.92 hours.