SOLUTION: Please help me. Two water pipes together can fill a certain tank in 8.2 h. The smaller pipe alone takes 2.2 h longer than the larger pipe to fill that same tank. How long would

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Question 1057916: Please help me.
Two water pipes together can fill a certain tank in 8.2 h. The smaller pipe alone takes 2.2 h longer than the larger pipe to fill that same tank. How long would it take the larger pipe alone to fill the tank? Keep three significant digits.
The larger pipe alone takes=

Answer by jorel555(1290) About Me  (Show Source):
You can put this solution on YOUR website!
Let n be the rate at which the larger pipe can fill the tank. Then the smaller pipe is n+2.2--So
1/n + 1/n+2.2=1/8.2
8.2(n+2.2)+8.2n=nē+2.2n
1640n+1804=100nē+220n
100nē-1420n-1804=0
Using the quadratic formula, we get n=15.3734515167 or -1.17345151675. Discarding the negative result, we get time it would take for the larger pipe alone to be 15.3734515 hours. ☺☺☺☺