SOLUTION: Suppose that 6 workers can complete a certain task in 10 days. If there are 20 workers, how many days would it take for them to finish the same task

Algebra ->  Rate-of-work-word-problems -> SOLUTION: Suppose that 6 workers can complete a certain task in 10 days. If there are 20 workers, how many days would it take for them to finish the same task      Log On


   

Question 1068507: Suppose that
6
workers can complete a certain task in
10
days. If there are
20
workers, how many days would it take for them to finish the same task
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
The rate is higher with 20 workers than with 6 workers.

r, rate for 1 worker

6r%2A10=20r%2At=1, the 1 here is for "1 whole task".
t is for the unknown time in days, to be solved.

6r%2A10=20r%2At
%286r%2A10%29%2F%2820r%29=t
t=6%2F2
highlight%28t=3%29-------------more workers, higher work rate, less time