# SOLUTION: If Harry can do a job in 2 days, and Sally can do the job in 4 days, and Henry can do the job in 6 days how long it will take to do the job if they all work on it at the same time

Algebra ->  Algebra  -> Percentage-and-ratio-word-problems -> SOLUTION: If Harry can do a job in 2 days, and Sally can do the job in 4 days, and Henry can do the job in 6 days how long it will take to do the job if they all work on it at the same time      Log On

 Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help! Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations!

 Word Problems: Problems on percentages, ratios, and fractions Solvers Lessons Answers archive Quiz In Depth

 Click here to see ALL problems on Percentage-and-ratio-word-problems Question 384478: If Harry can do a job in 2 days, and Sally can do the job in 4 days, and Henry can do the job in 6 days how long it will take to do the job if they all work on it at the same time? How would you set up the equation to solve this problem?Answer by stanbon(57424)   (Show Source): You can put this solution on YOUR website!If Harry can do a job in 2 days, and Sally can do the job in 4 days, and Henry can do the job in 6 days how long it will take to do the job if they all work on it at the same time? --- Harry rate is 1/2 job/day Sally rate is 1/4 job/day Henry rate is 1/6 job/day --- Together rate is 1/x job/day ----------------------------------- Equation: rate + rate + rate = together rate --- 1/2 + 1/4 + 1/6 = 1/x ---- 6x + 3x + 2x = 12 11x = 12 x = 12/11 = 1 1/11 days (time reqrd to do the job together) ================================ Cheers, Stan H.