SOLUTION: a work have to be complete in 10 days but 280 worker after 3 days work they complete only 1/4 of work , how much worker are required for complete the work in 10 days

Algebra ->  Rate-of-work-word-problems -> SOLUTION: a work have to be complete in 10 days but 280 worker after 3 days work they complete only 1/4 of work , how much worker are required for complete the work in 10 days      Log On


   

Question 976761: a work have to be complete in 10 days but 280 worker after 3 days work they complete only 1/4 of work , how much worker are required for complete the work in 10 days
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39613) About Me  (Show Source):
You can put this solution on YOUR website!
r, rate for one worker.
280r%2A3=1%2F4
r=1%2F%284%2A3%2A280%29

Want time to be 10 days, so requirement to finish doing 3/4 job is in need of n more workers, in 10-3=7 days.

If n is how many ADDITIONAL workers,
%28280%2Bn%29%2Ar%2A7=3%2F4
280%2Bn=%283%2F4%29%281%2F7r%29
n=%283%2F%2828r%29%29-280
n=3%2F%2828%281%2F%2812%2A280%29%29%29-280
n=3%2A12%2A280%2F28-280
3%2A12%2A10-280
360-280
highlight%2880=n%29

Answer by MathTherapy(10549) About Me  (Show Source):
You can put this solution on YOUR website!

a work have to be complete in 10 days but 280 worker after 3 days work they complete only 1/4 of work , how much worker are required for complete the work in 10 days
Working at the original rate, highlight_green%28300%29 workers can complete the remaining 3%2F4 of job in the remaining 7 (10 - 3) days.