document.write( "Question 1057916: Please help me.\r
\n" ); document.write( "\n" ); document.write( "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.\r
\n" ); document.write( "\n" ); document.write( "The larger pipe alone takes=
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Algebra.Com's Answer #672915 by jorel555(1290)\"\" \"About 
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
\n" ); document.write( "1/n + 1/n+2.2=1/8.2
\n" ); document.write( "8.2(n+2.2)+8.2n=nē+2.2n
\n" ); document.write( "1640n+1804=100nē+220n
\n" ); document.write( "100nē-1420n-1804=0
\n" ); document.write( "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. ☺☺☺☺
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