Question 155106



Let x=amount of time it takes them working together to do the job
Sam works at the rate of 1/4 job per day
Lisa works at the rate of 1/6 job per day
Tom works at the rate of 1/2 job per day
Together tey work at the rate of 1/4 +1/6 +1/2 job per day
1/4 +1/6 +1/2=3/12 +2/12 +6/12=11/12 job per day

So, our equation t solve is:

(11/12)*x=1 (1 job, that is) multiply each side by 12

11x=12  divide each side by 11
x=1 1/11 days----------time it takes them all working together


Hope this helps---ptaylor