SOLUTION: With water from one hose, a swimming pool can be filled in 9 hours. A second, larger hose used alone can fill the pool in 2 hours. How long would it take to fill the pool if both h

Algebra ->  Rate-of-work-word-problems -> SOLUTION: With water from one hose, a swimming pool can be filled in 9 hours. A second, larger hose used alone can fill the pool in 2 hours. How long would it take to fill the pool if both h      Log On


   



Question 497629: With water from one hose, a swimming pool can be filled in 9 hours. A second, larger hose used alone can fill the pool in 2 hours. How long would it take to fill the pool if both hoses were used simultaneously?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
The rate of filling for the smaller hose is ( 1 pool / 9 hrs)
The rate of filling for the larger hose is ( 1 pool / 2 hrs)
Let t = time to fill pool using both hoses
+1%2F9+%2B+1%2F2+=+1%2Ft+
Multiply both sides by 18t
+2t+%2B+9t+=+18+
+11t+=+18+
+t+=+18%2F11+
+t+=+1.636+ hrs
+.636%2A60+=+38.182+
+.182%2A60+=+11+
With both hoses, the pool is filled
in 1 hr 38 min 11 sec