SOLUTION: To complete a job a crew of 8 people needs 18 days. How long will the same job be finished if the crew will have 9 people

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Question 1053488: To complete a job a crew of 8 people needs 18 days. How long will the same job be finished if the crew will have 9 people
Answer by josgarithmetic(39630) About Me  (Show Source):
You can put this solution on YOUR website!
Eight people, each at r for any single one person do the work as a group at the rate of 8r; doing just the 1 job then allows 8r%2A18=1.

What is the rate for ONE person of the crew?
r=1%2F%288%2A18%29 in units of JOB%2FDAYS.

How much time, t, for 9 crew members to do same job?
9%281%2F%288%2A18%29%29%2At=1

%281%2F%288%2A2%29%29t=1

highlight%28t=16%29