SOLUTION: george can do a job in 6 hours and john can do the same job in 4 hours. how long will it take to finish the job, if both of them work together?

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: george can do a job in 6 hours and john can do the same job in 4 hours. how long will it take to finish the job, if both of them work together?       Log On


   

Question 639877: george can do a job in 6 hours and john can do the same job in 4 hours. how long will it take to finish the job, if both of them work together?
Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!
george can do a job in 6 hours and john can do the same job in 4 hours. how long will it take to finish the job, if both of them work together?
.
Let x = time (hours) it takes for both
then
x(1/6 + 1/4) = 1
multiplying both sides by 12:
x(2 + 3) = 12
x(5) = 12
x = 12/5
x = 2.4 hours
or
x = 2 hours and 24 minutes