document.write( "Question 207027: Jim can fill a pool carrying buckets of water in 30 minutes. Sue can do the same job in 45 minutes. Tony can do the same job in 1 1/2 hours. How quickly can all three fill the pool together? \n" ); document.write( "

Algebra.Com's Answer #156524 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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Jim can fill a pool carrying buckets of water in 30 minutes.
\n" ); document.write( " Sue can do the same job in 45 minutes.
\n" ); document.write( " Tony can do the same job in 1 1/2 hours.
\n" ); document.write( " How quickly can all three fill the pool together?
\n" ); document.write( ";
\n" ); document.write( "Let t = time (in minutes) required working together
\n" ); document.write( ":
\n" ); document.write( "let the completed job (full pool) = 1
\n" ); document.write( " $\"t%2F30\"$ + $\"t%2F45\"$ + $\"t%2F90\"$ = 1
\n" ); document.write( "Multiply equation by 90, results
\n" ); document.write( "3t + 2t + t = 90
\n" ); document.write( ":
\n" ); document.write( "6t = 90
\n" ); document.write( "t = $\"90%2F6\"$
\n" ); document.write( "t = 15 min \n" ); document.write( "

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