SOLUTION: Lamont can complete his math homework in 6 hr. Somto can complete his math homeowrk in 9 hr. Working together, how long will it take them to do the math homework?

Algebra ->  Rate-of-work-word-problems -> SOLUTION: Lamont can complete his math homework in 6 hr. Somto can complete his math homeowrk in 9 hr. Working together, how long will it take them to do the math homework?      Log On


   



Question 909914: Lamont can complete his math homework in 6 hr. Somto can complete his math homeowrk in 9 hr. Working together, how long will it take them to do the math homework?
Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
1/a+1/b=1/x
1/6+1/9=1/x
9/54+6/54=1/x
15/54=1/x
x=54/15
x=3.6 hours working together
check
x/a+x/b=1
x/6+x/9=1
3.6/6+3.6/9=1
0.6+0.4=1
1.0=1
ok