document.write( "Question 199321: If Sam can do a job in 4 days and Lisa can do it in 6 days and tom in 2 days, how long would the job take if Sam, Lisa and Tom worked together to complete it? \n" ); document.write( "

Algebra.Com's Answer #149778 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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If Sam can do a job in 4 days and Lisa can do it in 6 days and tom in 2 days,
\n" ); document.write( " how long would the job take if Sam, Lisa and Tom worked together to complete it?
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\n" ); document.write( "Let t = time required if all three work together
\n" ); document.write( "Let the completed job = 1
\n" ); document.write( ":
\n" ); document.write( " $\"t%2F4\"$ + $\"t%2F6\"$ + $\"t%2F2\"$ = 1
\n" ); document.write( "Multiply equation by 12 to get rid of the denominators, results:
\n" ); document.write( "3t + 2t + 6t = 12
\n" ); document.write( "11t = 12
\n" ); document.write( "t = $\"12%2F11\"$ days or (12/11) * 24 ~ 26.2 hrs \n" ); document.write( "

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