SOLUTION: Jack usually mows his lawn in 3 hours. Marilyn can mow the same yard in 6 hours. How much time would it take them to mow the lawn together? They could mow the lawn in how many hou

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Jack usually mows his lawn in 3 hours. Marilyn can mow the same yard in 6 hours. How much time would it take them to mow the lawn together? They could mow the lawn in how many hou      Log On


   



Question 319876: Jack usually mows his lawn in 3 hours. Marilyn can mow the same yard in 6 hours. How much time would it take them to mow the lawn together? They could mow the lawn in how many hours if they worked together. Please help me with this. Thank you.
Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!
Jack usually mows his lawn in 3 hours. Marilyn can mow the same yard in 6 hours. How much time would it take them to mow the lawn together? They could mow the lawn in how many hours if they worked together.
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Let h = hours it takes if they worked together
then
h(1/3 + 1/6) = 1
multiplying both sides by 18:
h(6 + 3) = 18
9h = 18
h = 2 hours
.
The can mow the lawn in 2 hours if they work together.