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 by itself in 2 hours. How long would it take the other pipe to

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Question 102964: 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 by itself in 2 hours. How long would it take the other pipe to fill the pool by itself
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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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 by itself in 2 hours. How long would it take the other pipe to fill the pool by itself
:
Change 1 hr 12 min to hrs. 12/60 = .2 > 1.2 hrs
:
Let x = time for other pipe to fill by itself
:
Let the full pool = 1
:
1.2%2F2 + 1.2%2Fx = 1
:
Multiply equation by 2x:
2x*1.2%2F2 + 2x*1.2%2Fx = 2x*1
;
Cancel out the denominators and you have
1.2x + 1.2(2) = 2x
:
2.4 = 2x - 1.2x
:
2.4 = .8x
:
x = 2.4/.8
:
x = 3 hrs required by the other pipe alone
:
:
Check solution:
1.2%2F2 + 1.2%2F3 =
.6 + .4 = 1