document.write( "Question 1198737: It takes Calvin 2 hours longer to complete the promotional logo for a male business entrepreneur than it takes Francesca. The two of them work together for 3 hours then Francesca left, and Calvin finished the job in 1 hour. How long would it take each of them, working alone, to finish the job? \n" ); document.write( "

Algebra.Com's Answer #832652 by MathTherapy(10552) $\"\"$ $\"About$

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\n" ); document.write( "It takes Calvin 2 hours longer to complete the promotional logo for a male business entrepreneur than it takes Francesca. The two of them work together for 3 hours then Francesca left, and Calvin finished the job in 1 hour. How long would it take each of them, working alone, to finish the job?
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Let time Francesca takes to do the job, alone, be F\r\n" );
document.write( "Then time Calvin takes to do the job, alone, is F + 2\r\n" );
document.write( "So, Franxesca can do  of job in 1 hour, while Calvin can do  of job in 1 hour\r\n" );
document.write( "Together, they can do  of job in 1 hour\r\n" );
document.write( "Since they both worked for 3 hours before Calvin completed the unfinished work in 1 hour, we get the following equation\r\n" );
document.write( "for the entire JOB:    \r\n" );
document.write( "                            \r\n" );
document.write( "                               3(F + 2) + 4F = F(F + 2) ----- Multiplying by LCD, F(F + 2)\r\n" );
document.write( "                                  \r\n" );
document.write( "                                           0 = (F - 6)(F + 1)\r\n" );
document.write( "                                       F - 6 = 0     OR      F + 1 = 0\r\n" );
document.write( "Time Francesca takes to do the job, alone, or F = 6 hours\r\n" );
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document.write( "Time Calvin takes to do the job, alone: F + 2 = 6 + 2 = 8 hours

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