SOLUTION: Jack mows the lawn in 3 hours. Jane mows the same yard in 4 hours. If they worked together how much time would it take them to mow the yard?

Question 314417: Jack mows the lawn in 3 hours. Jane mows the same yard in 4 hours. If they worked together how much time would it take them to mow the yard?
Answer by rapaljer(4671) (Show Source): You can put this solution on YOUR website!
Let x = time it takes them to mow the yard working together. This means that in 1 hour, Jack can mow 1/3 of the yard, Jane can mow 1/4 of the yard, and working together, they can do 1/x of the yard.

The equation is

The LCD is 12x, so multiply both sides of the equation by 12x

hours (a little less than 2 hours working together.

Dr. Robert J. Rapalje, Retired
Seminole State College of Florida
Altamonte Springs Campus