document.write( "Question 289955: I am having trouble with this word problem and wondering if someone could help me figure it out. \r
\n" ); document.write( "\n" ); document.write( "Working together, Rick and Juanita can complete a job in 6 hours. It would take Rick 9 hours longer than Juanita to do the job alone. How long would it take Juanita alone?\r
\n" ); document.write( "\n" ); document.write( "I've tried it a couple different ways, but never get the right answer. I know the answer is 9 hours...HELP! :) \n" ); document.write( "

Algebra.Com's Answer #209904 by Edwin McCravy(20056) $\"\"$ $\"About$

You can put this solution on YOUR website!
I am having trouble with this word problem and wondering if someone could help me figure it out.
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document.write( "Working together, Rick and Juanita can complete a job in 6 hours.  It would take Rick 9 hours longer than Juanita to do the job alone.  How long would it take Juanita alone?\r\n" );
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document.write( "I've tried it a couple different ways, but never get the right answer.  I know the answer is 9 hours...HELP!  :)\r\n" );
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document.write( "Make this chart:\r\n" );
document.write( "                                     ACCOMPLISHMENT   RATE    TIME\r\n" );
document.write( "Rick working alone                                                  \r\n" );
document.write( "Juanita working alone                                              \r\n" );
document.write( "Rick and Juanita working together                                \r\n" );
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document.write( "You are asked \"How long would it take Juanita alone?\"\r\n" );
document.write( "We want to know Juanita's time alone to accomplish 1 job, so we\r\n" );
document.write( "put X for her time and 1 for her accomplishment:\r\n" );
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document.write( "                                     ACCOMPLISHMENT   RATE    TIME\r\n" );
document.write( "Rick working alone                                                \r\n" );
document.write( "Juanita working alone                      1                    X\r\n" );
document.write( "Rick and Juanita working together                                  \r\n" );
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document.write( "We are told that working together, Rick and Juanita can complete the\r\n" );
document.write( "job in 6 hours.  That means together they made 1 accomplishment in\r\n" );
document.write( "6 hours. So we put 1 for their acomplishment together and 6 for their\r\n" );
document.write( "time together:\r\n" );
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document.write( "                                     ACCOMPLISHMENT   RATE    TIME\r\n" );
document.write( "Rick working alone                                                \r\n" );
document.write( "Juanita working alone                      1                    X\r\n" );
document.write( "Rick and Juanita working together          1                    6\r\n" );
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document.write( "We are told that i would take Rick 9 hours longer than Juanita to do the job alone (1 accomplishment).  So we add 9 to Juanita's time, X, getting X+9.  \r\n" );
document.write( "We put X+9 for Rick's time working alone, and 1 for his accomplishment:\r\n" );
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document.write( "                                     ACCOMPLISHMENT   RATE    TIME\r\n" );
document.write( "Rick working alone                         1                   X+9\r\n" );
document.write( "Juanita working alone                      1                    X\r\n" );
document.write( "Rick and Juanita working together          1                    6\r\n" );
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document.write( "Next we use  to fill in the rates:\r\n" );
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document.write( "                                     ACCOMPLISHMENT   RATE    TIME\r\n" );
document.write( "Rick working alone                         1         1/(X+9)   X+9\r\n" );
document.write( "Juanita working alone                      1           1/X      X\r\n" );
document.write( "Rick and Juanita working together          1           1/6      6\r\n" );
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document.write( "The equation is gotten from\r\n" );
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document.write( "Rick's rate alone + Juanita's rate alone = their rate together:\r\n" );
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document.write( "Can you solve that? If not, post again asking how.\r\n" );
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document.write( "Answer: X = 9, so it would take Juanita 9 hours.\r\n" );
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document.write( "Edwin

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