document.write( "Question 336079: Two pipes fill a storage tank in 9 hours. If the larger pipe fills the tank three times as fast as the smaller one, how long would it take the larger pipe to fill the tank alone? \n" ); document.write( "

Algebra.Com's Answer #241040 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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Two pipes fill a storage tank in 9 hours.
\n" ); document.write( " If the larger pipe fills the tank three times as fast as the smaller one,
\n" ); document.write( " how long would it take the larger pipe to fill the tank alone?
\n" ); document.write( ":
\n" ); document.write( "Let t = time required by the larger pipe alone
\n" ); document.write( "then
\n" ); document.write( "3t = time required by the smaller pipe alone
\n" ); document.write( ":
\n" ); document.write( "Let the completed job = 1; (a full tank)
\n" ); document.write( ":
\n" ); document.write( "Each pipe will fill a fraction of the tank, the two fractions add up to 1.
\n" ); document.write( ":
\n" ); document.write( " $\"9%2Ft\"$ + $\"9%2F%283t%29\"$ = 1
\n" ); document.write( "Multiply by 3t, results:
\n" ); document.write( "3(9) + 9 = 3t
\n" ); document.write( "27 + 9 = 3t
\n" ); document.write( "36 = 3t
\n" ); document.write( "t = $\"36%2F3\"$
\n" ); document.write( "t = 12 hrs required by the large pipe alone
\n" ); document.write( ":
\n" ); document.write( ":
\n" ); document.write( "See if that's true (36 hrs for small pipe)
\n" ); document.write( " $\"9%2F12\"$ + $\"9%2F36\"$ = 1
\n" ); document.write( " $\"3%2F4\"$ + $\"1%2F4\"$ = 1
\n" ); document.write( " \n" ); document.write( "

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