SOLUTION: I have a word problem. What is the best way to solve it? Could you please help me answer it please? Thankyou very much .The problem is: One large hose can fill a child's

Question 128735: I have a word problem. What is the best way to solve it? Could you please help me answer it please? Thankyou very much .The problem is:

One large hose can fill a child's backyard pool in 24 minutes. A larger hose can fill the pool in 12 minutes. If the two hoses are used together how long would it take to fill the pool?

Answer by Earlsdon(6294) (Show Source): You can put this solution on YOUR website!
One approach is to find the rate (per minute) for each hose, then add the two rates to get the per-minute rate for both hoses.
1) The small hose can fill the pool in 24 minutes, therefore it can fill 1/24 of the pool in 1 minute.
2) The large hose can fill the pool in 12 minutes, therefore it can fill 1/12 of the pool in 1 minute.
Together, they can fill of the pool in 1 minute.
=
So, working together, the two hoses can fill 1/8 of the pool in 1 minute, or 1 min = 1/8 pool
Multiply this by 8 to find out how long it takes to fill the entire pool.
8(1min) = 8(1/8 pool)
8 min = 1 pool
So it would take 8 minutes to fill the pool if both hoses were used together.
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