document.write( "Question 7353: 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 \n" ); document.write( "
Algebra.Com's Answer #4085 by AnlytcPhil(1806)\"\" \"About 
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Jim can fill a pool carrying buckets of water in 30 minutes. Sue can do the
\n" ); document.write( "same job in 45 minutes. Tony can do the same job in 1 ½ hours. How quickly can
\n" ); document.write( "all three fill the pool together.
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document.write( "What we need is this equation:\r
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document.write( "Jim's rate + Sue's rate + Tony's rate = their combined rate
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document.write( ">>...How quickly can all three fill the pool together...<<
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document.write( "Let the time be x minutes. 
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document.write( "THEREFORE
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document.write( "their combined rate = 1 pool per x minutes or
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document.write( "their combined rate = 1/x pool per minute
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document.write( ">>...Jim can fill a pool...in 30 minutes...<<
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document.write( "TRANSLATION:
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document.write( "Jim's rate is 1 pool per 30 minutes or
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document.write( "Jim's rate = 1/30 pool per minute
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document.write( ">>...Sue can do the same job in 45 minutes...<<
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document.write( "TRANSLATION:
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document.write( "Sue's rate is 1 pool per 45 minutes or
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document.write( "Sue's rate = 1/45 pool per minute
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document.write( ">>...Tony can do the same job in 1 ½ hours.,,<<
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document.write( "TRANSLATION:
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document.write( "Tony's rate is 1 pool per 1½ hour
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document.write( "Tony's rate is 1 pool per 90 minutes
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document.write( "Tony's rate = 1/90 pool per minute
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document.write( "Now
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document.write( "Jim's rate + Sue's rate + Tony's rate = their combined rate
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document.write( "becomes
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document.write( "                       1/30 + 1/45 + 1/90 = 1/x
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document.write( "Get the LCD of all the denominators 30, 45, 90, and x, which is 90x.
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document.write( "Multiply through by 90x
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document.write( "  (90x)(1/30) + (90x)(1/45) + (90x)(1/90) = (90x)(1/x)
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document.write( "                              3x + 2x + x = 90
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document.write( "                                       6x = 90
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document.write( "                                        x = 90/6
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document.write( "                                        x = 15 minutes
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document.write( "Edwin \n" );
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