document.write( "Question 313481: Sam does the job in 4 days that Lisa can do in 6 days that Tom can do in 2 days. How long would it take to do the job if they all worked TOGETHER? \n" ); document.write( "

Algebra.Com's Answer #224132 by nerdybill(7384) $\"\"$ $\"About$

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Sam does the job in 4 days that Lisa can do in 6 days that Tom can do in 2 days. How long would it take to do the job if they all worked TOGETHER?
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\n" ); document.write( "Let x = time it takes for them to do it together
\n" ); document.write( "then
\n" ); document.write( "x(1/4 + 1/6 + 1/2) = 1
\n" ); document.write( "Multiplying both sides by 12:
\n" ); document.write( "x(3 + 2 + 6) = 12
\n" ); document.write( "x(11) = 12
\n" ); document.write( "x = 12/11 days
\n" ); document.write( "or
\n" ); document.write( "x = 26 hours 11 minutes\r
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