document.write( "Question 1036910: If bob and bill work together, they can do a job in 3h 44 min. If it takes Bob one hour more to the job than it takes Bill,
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Algebra.Com's Answer #651654 by ikleyn(52855) $\"\"$ $\"About$

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\n" ); document.write( "If bob and bill work together, they can do a job in 3h 44 min. If it takes Bob one hour more to the job than it takes Bill,
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document.write( "3 hours 44 minutes = 224 minutes.\r\n" );
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document.write( "Let x be the number of minutes (amount of time, in minutes) for Bill to complete the job working alone.\r\n" );
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document.write( "Then the number of minutes (amount of time, in minutes) for Bob to complete the job working alone is x + 60, according to the condition.\r\n" );
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document.write( "Working alone, Bill complete  of the job in one minute (in each minute). It is Bill's rate of work.\r\n" );
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document.write( "Working alone, Bob complete  of the job in one minute (in each minute). It is Bob's rate of work.\r\n" );
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document.write( "Working together, Bob and Bill make  of the job per minute. \r\n" );
document.write( "In other words, their combined rate of work is the sum of their individual rates.\r\n" );
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document.write( "From the other side, we know from the condition, that Bob and Bill make  of the job per minute working together.\r\n" );
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document.write( "So, we have this equation to determine x\r\n" );
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document.write( "To solve it, multiply both sides by 224*x*(x+60) to rid of denominators. You will get\r\n" );
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document.write( "224(x+60) + 224x = x*(x+60),  or\r\n" );
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document.write( "448x + 13440 = ,   or\r\n" );
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document.write( " = ,\r\n" );
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document.write( " =  = .\r\n" );
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document.write( "Only positive root is acceptable. It is x = 420 minutes,  or  x = 7 hours.\r\n" );
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document.write( "Answer.  Bill can complete the job in 7 hours working alone.\r\n" );
document.write( "         Bob can do it in 8 hours working alone.\r\n" );
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