SOLUTION: If two inlet pipes are both open, they can fill a pool in 4 hours and 48 minutes. One of the pipes can fill the pool by itself in 8 hours. How long would it take the other pipe to

Algebra ->  Rate-of-work-word-problems -> SOLUTION: If two inlet pipes are both open, they can fill a pool in 4 hours and 48 minutes. One of the pipes can fill the pool by itself in 8 hours. How long would it take the other pipe to       Log On


   



Question 632751: If two inlet pipes are both open, they can fill a pool in 4 hours and 48 minutes. One of the pipes can fill the pool by itself in 8 hours. How long would it take the other pipe to fill the pool by itself?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Add the rates of filling
Let one pipe's rate = ( 1 pool filled ) / ( x hours )
The other pipe's rate = ( 1 pool filled ) / ( 8 hours )
Both pipes together = ( 1 pool filled ) / ( 4 and 48/60 hrs )
-----------------
+1%2F8+%2B+1%2Fx+=+1%2F%2824%2F5%29+
+1%2F8+%2B+1%2Fx+=+5%2F24+
Multiply both sides by +24x+
+3x+%2B+24+=+5x+
+2x+=+24+
+x+=+12+
The other pipe takes 12 hrs to fill the pool
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check:
+1%2F8+%2B+1%2F12+=+5%2F24+
+3%2F24+%2B+2%2F24+=+5%2F24+
+5%2F24+=+5%2F24+
OK