SOLUTION: 120 People does work in 90 days how many people need to same work in 40days?

Algebra ->  Rate-of-work-word-problems -> SOLUTION: 120 People does work in 90 days how many people need to same work in 40days?      Log On


   



Question 706362: 120 People does work in 90 days how many people need to same work in 40days?
Found 2 solutions by josmiceli, stanbon:
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
If 120 people can do 1 job in 90 days,
9 times as many people will take 1/9 as long
to do 1 job, so
1080 people can do 1 job in 10 days
1/4 as many people take 4 times as long
to do 1 job, so
270 people can do the same work in 40 days


Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
120 People does work in 90 days how many people need to same work in 40days?
---
Note # of people and # of days are inversely related.
p = k/d
----
Solve for "k" using "120 People does work in 90 days":
120 = k/90
----
k = 90*120
------
Equation:
p = (90*120)/d
------
how many people need to same work in 40days?
--
p = (90*120)/40
---
# of people = 3*90 = 270
==============================
Cheers,
Stan H.
==================