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Question 952346: Jimmy is filling up a pool using a large hose and a small hose. The large hose, working alone, can fill the pool in 3 hours. The small hose can fill up the pool in 5 hours. The small hose is turned on and allowed to run for an hour. Then the large hose is turned on, and both run until the pool is full. How many hours did it take to fill the pool?
Answer by macston(5194)   (Show Source):
You can put this solution on YOUR website! L=large hose=1 pool/3 hrs=1/3 pool/hr
S=small hose=1 pool/5 hrs=1/5 pool/hr
B=both=1/3pool/hr+1/5pool/hr=5/15 pool/hr+3/15 pool/hr=8/15 pool/hr
The small hose runs for 1 hour, fills 1/5 of the pool, leaving 4/5 pool to fill.
(4/5 pool)/(8/15 pool/hr)=(4/5 pool)*(15/8 hr/pool)=(4*15)/(5*8)hrs=60/40 hrs=1.5 hours.
ANSWER: It will take 1.5 hours more for the pool to fill after the small hose has run for 1 hour.
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