document.write( "Question 438791: If sam can do a job in 4 days that Lisa can do in 6 days, and Tom can do in 2 days, how long would the job take if Sam, Lisa, and Tom work together to complete it? \n" ); document.write( "

Algebra.Com's Answer #303336 by nerdybill(7384) $\"\"$ $\"About$

You can put this solution on YOUR website!
If sam can do a job in 4 days that Lisa can do in 6 days, and Tom can do in 2 days, how long would the job take if Sam, Lisa, and Tom work together to complete it?
\n" ); document.write( ".
\n" ); document.write( "Let x = time (days) it takes for all three
\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
\n" ); document.write( "x = 1.09 days
\n" ); document.write( "or
\n" ); document.write( "x = 1 day, 2 hours and 11 minutes
\n" ); document.write( " \n" ); document.write( "

\n" );