SOLUTION: jim mows a lawn in 5 hours. tom mows the same lawn in 7 hours. how long will both of them mow the same lawn?

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Question 601627: jim mows a lawn in 5 hours.
tom mows the same lawn in 7 hours.
how long will both of them mow the same lawn?

Answer by nerdybill(7384)   (Show Source): You can put this solution on YOUR website!
jim mows a lawn in 5 hours.
tom mows the same lawn in 7 hours.
how long will both of them mow the same lawn?
.
Let x = time (hours) for both
then
x(1/5 + 1/7) = 1
multiply both sides by common denominator of 35:
x(7 + 5) = 35
x(12) = 35
x = 35/12
x = 2.9167 hours
or
x = 2 hours and 55 minutes

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