document.write( "Question 263107: 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 ½ hours. How quickly can all three fill the pool together? \r
\n" ); document.write( "\n" ); document.write( "A. 12 minutes
\n" ); document.write( "B. 15 minutes
\n" ); document.write( "C. 21 minutes
\n" ); document.write( "D. 23 minutes
\n" ); document.write( "E. 28 minutes \r
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Algebra.Com's Answer #193839 by josmiceli(19441)\"\" \"About 
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Add their rates of filling the pool to get
\n" ); document.write( "their rate working together
\n" ); document.write( "Jim's rate = \"1%2F30\" or one pool in 30 min
\n" ); document.write( "Sue's rate = \"1%2F45\" or one pool in 45 min
\n" ); document.write( "Tony's rate = \"1%2F90\" or one pool in 90 min
\n" ); document.write( "Let \"x\" = time it takes for all 3 working together
\n" ); document.write( "\"1%2F30+%2B+1%2F45+%2B+1%2F90+=+1%2Fx\"
\n" ); document.write( "Multiply both sides by \"90x\"
\n" ); document.write( "\"3x+%2B+2x+%2B+x+=+90\"
\n" ); document.write( "\"6x+=+90\"
\n" ); document.write( "\"x+=+15\"
\n" ); document.write( "Working together, it takes them 15 min to fill the pool
\n" ); document.write( "The answer is B
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