SOLUTION: one pipe can fill a swimming pool in 15 hours, a second pipe requires 18 hours. If the first pipe is opened for 7 hours and then closed when the second pipe is opened, how long wil

Algebra ->  Rate-of-work-word-problems -> SOLUTION: one pipe can fill a swimming pool in 15 hours, a second pipe requires 18 hours. If the first pipe is opened for 7 hours and then closed when the second pipe is opened, how long wil      Log On


   



Question 791864: one pipe can fill a swimming pool in 15 hours, a second pipe requires 18 hours. If the first pipe is opened for 7 hours and then closed when the second pipe is opened, how long will it take the second to finish filling the pool?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
one pipe can fill a swimming pool in 15 hours, a second pipe requires 18 hours.
If the first pipe is opened for 7 hours and then closed when the second pipe is opened, how long will it take the second to finish filling the pool?
:
Let t = time for the 2nd pipe to finish filling the pool
Let the full pool = 1
7%2F15 + t%2F18 = 1
multiply by the LCM of 15 and 18, that's 90, results:
90*7%2F15 + 90*t%2F18 = 90(1)
cancel the denominators
6(7) + 5t = 90
5t = 90 - 42
5t = 48
t = 48/5
t = 9.6 hrs