document.write( "Question 228190: If Jim and Tom can do a job together in 3.5 hours, and Jim can do the job alone in 4 hours. How long toes it take Tom to do the job alone? \n" ); document.write( "

Algebra.Com's Answer #169444 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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If Jim and Tom can do a job together in 3.5 hours, and Jim can do the job alone in 4 hours.
\n" ); document.write( " How long toes it take Tom to do the job alone?
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\n" ); document.write( "Let = time required by Tom alone
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\n" ); document.write( "Typical shared work equation
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\n" ); document.write( "let the completed job = 1
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\n" ); document.write( " $\"3.5%2F4\"$ + $\"3.5%2Ft\"$ = 1
\n" ); document.write( " multiply equation by 4t, results:
\n" ); document.write( "3.5t + 4(3.5) = 4t
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\n" ); document.write( "3.5t + 14 = 4t
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\n" ); document.write( "14 = 4t - 3.5t
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\n" ); document.write( "14 = .5t
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\n" ); document.write( "t = 28 hrs, Tom alone
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\n" ); document.write( "Check on a calc: enter: (3.5/4) + (3.5/28) = 1\r
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