SOLUTION: takes one team 9 days less than the other to survey 1,000 people. If the teams work together, it takes them 20 days to complete the survey. How long will it take each to do the sur

Algebra ->  Customizable Word Problem Solvers  -> Evaluation -> SOLUTION: takes one team 9 days less than the other to survey 1,000 people. If the teams work together, it takes them 20 days to complete the survey. How long will it take each to do the sur      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 875418: takes one team 9 days less than the other to survey 1,000 people. If the teams work together, it takes them 20 days to complete the survey. How long will it take each to do the survey alone?
Answer by josgarithmetic(39630) About Me  (Show Source):
You can put this solution on YOUR website!
The 1000 people surveyed is just the 1 job. This is a uniform rates task completion problem. RT=J. rate, time, job.

highlight_green%281%2F%28t-9%29%2B1%2Ft=1%2F20%29.
The sum of the rates of the two teams is the total rate of the two teams together. The numerator of 1 is for 1 job. t-9 is the time for the first mentioned team and t is time for the second mentioned team.

Solve for t, and use it to find the rate of each team.