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Math question....please help.?
if 9 employees require 15 days to complete a task, how long would it take to do the same work if there were 3 additional employees. The answer is 11.25 according to my book but I can't figure out how to come up with that answer.
5 Answers
- 1 decade ago
with the 3 additional you have 12. Then you divide 12 by 9 to get 1 1/3 the work force. Then divide 15 by 1 1/3 and you get 11.25
- 1 decade ago
I think I've got it...
If you add 3 more employees, you're adding a third more workers, so the work should take a third less time.
To get this, divide 15 by 1.3333333333, because you have 33% more employees.
This gives you 11.25
- MicoLv 41 decade ago
one employee can finish 1/(9*15) = 1/135 of the task in one day
so the rate of each worker is 1/135 task/day
3 workers are added. So there are 12 workers total
the rate of 12 workers is 12(1/135) = 4/45 task/day
(4/45)t = 1
t = 11.25 days
hope it helps :-)
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