SOLUTION: A bathtub can be filled by the cold water faucet in 13 minutes and by the hot water faucet in 14 minutes. How long does it take to fill the tub if both faucets are open?

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Question 1033224: A bathtub can be filled by the cold water faucet in 13 minutes and by the hot water faucet in 14 minutes. How long does it take to fill the tub if both faucets are open?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Add their rates of filling
+1%2F13+%2B+1%2F14+=+1%2Ft+
Multiply both sides by +13%2A14%2At+
+14t+%2B+13t+=+182+
+27t+=+182+
+t+=+6.741+
+.741%2A60+=+44.444+
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With both faucets open, it takes
6 min 44 sec
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check:
+1%2F13+%2B+1%2F14+=+1%2F6.741+
+.07692+%2B+.07143+=+.14835+
+.14835+=+.14835+
OK