document.write( "Question 185463: One person can do a job in 8 hours. A second person can do it in 12 hours. If the first person works 2 hours less than the second, how many hours will it take them working together? \n" ); document.write( "

Algebra.Com's Answer #139217 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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One person can do a job in 8 hours. A second person can do it in 12 hours.
\n" ); document.write( " If the first person works 2 hours less than the second, how many hours will
\n" ); document.write( " it take them working together?
\n" ); document.write( ":
\n" ); document.write( "Let t = time required working together
\n" ); document.write( ":
\n" ); document.write( "A typical \"shared work equation\" (let the completed job = 1)
\n" ); document.write( " $\"%28t-2%29%2F8\"$ + $\"t%2F12\"$ = 1
\n" ); document.write( "mult equation by 24 to get rid of the denominators, results
\n" ); document.write( "3(t-2) + 2t = 24
\n" ); document.write( "3t - 6 + 2t = 24
\n" ); document.write( "5t = 24 + 6
\n" ); document.write( "t = $\"30%2F5\"$
\n" ); document.write( "t = 6 hrs working together
\n" ); document.write( ";
\n" ); document.write( ";
\n" ); document.write( "check solution
\n" ); document.write( " $\"4%2F8\"$ + $\"6%2F12\"$ =
\n" ); document.write( ".5 + .5 = 1 \n" ); document.write( "

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