SOLUTION: Two pipes can empty pool in 3 hours. If the smaller pipe can empty it in 10 hours alone, how long can a larger pipe empty the pool alone?
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Question 1111965: Two pipes can empty pool in 3 hours. If the smaller pipe can empty it in 10 hours alone, how long can a larger pipe empty the pool alone?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = time in hrs for the larger pipe
to empty the pool
Rate of emptying for smaller pipe:
[ 1 pool emptied ] / [ 10 hrs ]
Rate of emptying for smaller pipe:
[ 1 pool emptied ] / [ t hrs ]
Add the rates of emptying to get the rate
with both pipes together
-------------------------------------------
Multiply both sides by
hrs
The larger pipe alone takes 4.2857 hrs
-----------------------------------
check:
OK
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