SOLUTION: Two pipes fill a storage tank in 9 hours. If the larger pipe fills the tank three times as fast as the smaller one, how long would it take the larger pipe to fill the tank alone?

Question 336079: Two pipes fill a storage tank in 9 hours. If the larger pipe fills the tank three times as fast as the smaller one, how long would it take the larger pipe to fill the tank alone?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Two pipes fill a storage tank in 9 hours.
If the larger pipe fills the tank three times as fast as the smaller one,
how long would it take the larger pipe to fill the tank alone?
:
Let t = time required by the larger pipe alone
then
3t = time required by the smaller pipe alone
:
Let the completed job = 1; (a full tank)
:
Each pipe will fill a fraction of the tank, the two fractions add up to 1.
:
+ = 1
Multiply by 3t, results:
3(9) + 9 = 3t
27 + 9 = 3t
36 = 3t
t =
t = 12 hrs required by the large pipe alone
:
:
See if that's true (36 hrs for small pipe)
+ = 1
+ = 1

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