document.write( "Question 608427: Two drainpipes working together can drain a pool in 8 hours. Working alone the smaller pipe would take 12 hours longer than the larger pipe to drain the pool. How long would it take the smaller pipe to drain the pool? \n" ); document.write( "

Algebra.Com's Answer #383186 by nerdybill(7384) $\"\"$ $\"About$

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Two drainpipes working together can drain a pool in 8 hours. Working alone the smaller pipe would take 12 hours longer than the larger pipe to drain the pool. How long would it take the smaller pipe to drain the pool?
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\n" ); document.write( "Let x = time (hours) for smaller pipe to drain pool alone
\n" ); document.write( "then
\n" ); document.write( "8(1/12 + 1/x) = 1
\n" ); document.write( "multiplying both sides by 12x:
\n" ); document.write( "8(x + 12) = 12x
\n" ); document.write( "8x + 96 = 12x
\n" ); document.write( "96 = 4x
\n" ); document.write( "14 hours = x \n" ); document.write( "

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