SOLUTION: Jack usually mow his lawn in 4 hours. Marilyn can mow the same yard in 3 hours. How much time would it take for them to mow the lawn together? They could mow the lawn in ___ hou

Algebra ->  Systems-of-equations -> SOLUTION: Jack usually mow his lawn in 4 hours. Marilyn can mow the same yard in 3 hours. How much time would it take for them to mow the lawn together? They could mow the lawn in ___ hou      Log On


   



Question 615414: Jack usually mow his lawn in 4 hours. Marilyn can mow the same yard in 3 hours. How much time would it take for them to mow the lawn together?
They could mow the lawn in ___ hours if they worked together.
(Simplify your answer)

Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!
Jack usually mow his lawn in 4 hours. Marilyn can mow the same yard in 3 hours. How much time would it take for them to mow the lawn together?
.
Let x = time (hours) if they mowed lawn together
then
x(1/4 + 1/3) = 1
multiplying both sides by 12:
x(3 + 4) = 12
x(7) = 12
x = 12/7 hour
or
x = 1 hour and 43 minutes