SOLUTION: Bill can mow a large lawn with his ride mower in 2 1/2 hours, and Joanne can do the job with her hand-operated power mower in 6 hours. How long will it take both of them working to

Algebra ->  Rate-of-work-word-problems -> SOLUTION: Bill can mow a large lawn with his ride mower in 2 1/2 hours, and Joanne can do the job with her hand-operated power mower in 6 hours. How long will it take both of them working to      Log On


   



Question 977330: Bill can mow a large lawn with his ride mower in 2 1/2 hours, and Joanne can do the job with her hand-operated power mower in 6 hours. How long will it take both of them working together to complete the job?
Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
1/a+1/b=1/x
1/2.5+1/6=1/x
6/15.0+2.5/15.0=1/x
8.5/15.0=1/x
x=15.0/8.5
x=1.76470588 hours working together
check
x/a+x/b=1
x/2.5+x/6=1
1.76470588/2.5+1.76470588/6=1
0.70588235+0.29411765=1
1.0=1
ok
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