document.write( "Question 230986: One pump can drain a pool in 11 minutes. When a second pump is also used, the pool only takes 6 minutes to drain. How long would it take the second pump to drain the pool if it were the only pump in use? \n" ); document.write( "

Algebra.Com's Answer #171238 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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One pump can drain a pool in 11 minutes.
\n" ); document.write( " When a second pump is also used, the pool only takes 6 minutes to drain.
\n" ); document.write( " How long would it take the second pump to drain the pool if it were the only pump in use?
\n" ); document.write( ";
\n" ); document.write( "Let t = time required by the 2nd pump alone
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\n" ); document.write( "Let the completed job = 1 (a drained pool)
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\n" ); document.write( " $\"6%2F11\"$ + $\"6%2Ft\"$ = 1
\n" ); document.write( "multiply by 11t, results:
\n" ); document.write( "6t + 6(11) = 11t
\n" ); document.write( ":
\n" ); document.write( "66 = 11t - 6t
\n" ); document.write( ":
\n" ); document.write( "66 = 5t
\n" ); document.write( "t = $\"66%2F5\"$
\n" ); document.write( "t = 13.2 min, the 2nd pipe alone
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\n" ); document.write( ":
\n" ); document.write( "Check on a calc: enter (6/11) + (6/13.2) = 1 \n" ); document.write( "

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