document.write( "Question 112660: Jim can fill a pool carrying bucks of water in 30 minutes. Sue can do the same job in 45 minutes. Tony can do the same job in 1 ½ hours. How quickly can all three fill the pool together? \n" ); document.write( "

Algebra.Com's Answer #82135 by josmiceli(19441) $\"\"$ $\"About$

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Jim's rate of filling the pool is
\n" ); document.write( "(1 pool / 30 min)
\n" ); document.write( "Sue's rate is
\n" ); document.write( "(1 pool / 45 min)
\n" ); document.write( "Tony's rate is
\n" ); document.write( "(1 pool / 90 min)
\n" ); document.write( "Working together, I add the rates to get the combined rate
\n" ); document.write( "(1 pool / 30 min)+(1 pool / 45 min)+(1 pool / 90 min) = (1 pool / x min)
\n" ); document.write( " $\"%281+%2F+30%29+%2B+%281+%2F+45%29+%2B+%281+%2F+90%29+=+1+%2F+x\"$
\n" ); document.write( " $\"%283+%2F+90%29+%2B+%282+%2F+90%29+%2B+%281+%2F+90%29+=+1+%2F+x\"$
\n" ); document.write( " $\"6+%2F+90+=+1+%2F+x\"$
\n" ); document.write( " $\"x+=+90+%2F+6\"$
\n" ); document.write( " $\"x+=+15\"$ min answer
\n" ); document.write( "Working together, all three fill the pool in 15 minutes \n" ); document.write( "

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