SOLUTION: how could i solve this problem. suppose a small pump can empty out a swimming pool in 60 hours and a large pump can empty out a pool in 20 hours. working together how long would it

Algebra ->  Rate-of-work-word-problems -> SOLUTION: how could i solve this problem. suppose a small pump can empty out a swimming pool in 60 hours and a large pump can empty out a pool in 20 hours. working together how long would it      Log On


   



Question 911054: how could i solve this problem. suppose a small pump can empty out a swimming pool in 60 hours and a large pump can empty out a pool in 20 hours. working together how long would it take hem both to empty out the pool?
Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
1/a+1/b=1/x
1/20+1/60=1/x
60/1200+20/1200=1/x
80/1200=1/x
x=1200/80
x=15 hours working together
check
x/a+x/b=1
x/20+x/60=1
15/20+15/60=1
0.75+0.25=1
1=1
ok
codewt