document.write( "Question 183536: 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 worked together to complete it? \n" ); document.write( "
Algebra.Com's Answer #137774 by stanbon(75887)![]() ![]() ![]() 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 worked together to complete it? \n" ); document.write( "----------------------------- \n" ); document.write( "Sam rate = 1/4 job/day \n" ); document.write( "Lisa rate = 1/6 job/day \n" ); document.write( "Tome rate = 1/2 job/day \n" ); document.write( "---------------------------- \n" ); document.write( "Let together rate be 1/x job/day \n" ); document.write( "----------------------------- \n" ); document.write( "Equation: \n" ); document.write( "rate + rate + rate = together rate \n" ); document.write( "1/4 + 1/6 + 1/2 = 1/x \n" ); document.write( "(3 + 2 + 6)/12 = 1/x \n" ); document.write( "11/12 = 1/x \n" ); document.write( "11x = 12 \n" ); document.write( "x = 12/11 = 1.11 days to do the job together. \n" ); document.write( "=============================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |