SOLUTION: There are two intake pipes to a large storage tank. Using the smaller pipe alone, it takes twice as long to fill the tank as it does using the larger pipe alone. The tank can be

Algebra ->  Rate-of-work-word-problems -> SOLUTION: There are two intake pipes to a large storage tank. Using the smaller pipe alone, it takes twice as long to fill the tank as it does using the larger pipe alone. The tank can be       Log On


   



Question 714263: There are two intake pipes to a large storage tank. Using the smaller pipe alone, it takes twice as long to fill the tank as it does using the larger pipe alone. The tank can be filled in 8 minutes if both pipes are used. How long would it take using the smaller pipe alone?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +r+ = the rate of filling for smaller pipe
+2r+ = the rate of filling for larger pipe
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With both pipes open:
+r+%2B+2r+=+1%2F8+
( note that 1/8 means 1 tank filled / 8 min time )
+3r+=+1%2F8+
+r+=+1%2F24+
+2r+=+1%2F12+
Using the smaller pipe alone, it takes 24 hrs to fill the tank