SOLUTION: If two inlet pipes are both open, they can fill a pool in 1 hour and 12 minutes. One of the pipes can fill the pool itself in 2 hours. How long will it take the other pipe to fill

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Question 156846This question is from textbook
: If two inlet pipes are both open, they can fill a pool in 1 hour and 12 minutes. One of the pipes can fill the pool itself in 2 hours. How long will it take the other pipe to fill the pool itself? This question is from textbook

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
If two inlet pipes are both open, they can fill a pool in 1 hour and 12 minutes.
One of the pipes can fill the pool itself in 2 hours. How long will it take the
other pipe to fill the pool by itself
;
Let x = time required by the other pipe
:
Change 1 hr 12 min to hrs: 1.2 hrs
;
Let the full pool = 1
;
1.2%2F2 + 1.2%2Fx = 1
Multiply equation by 2x
1.2x + 2(1.2) = 2x
:
1.2x + 2.4 = 2x
:
2.4 = 2x - 1.2x
:
2.4 = .8x
x = 2.4%2F.8
x = 3 hrs
;
:
Check solution
1.2%2F2 + 1.2%2F3 =
.6 + .4 = 1; confirms our solution