SOLUTION: If 4 people can paint a fence in 3 hours. How many people are needed to complete the job in half an hour?

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Question 1141981: If 4 people can paint a fence in 3 hours. How many people are needed to
complete the job in half an hour?
Found 2 solutions by greenestamps, josgarithmetic:
Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


Half an hour is one-sixth of 3 hours; so you would need 6 times as many workers.

Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
If you want an algebraic solution you could start with this idea:
n%2Ar%2Ax=j
nr, the rate of n workers
x, the time
j, amount of work or quantity of jobs


"paint a fence" is ONE job, j=1.
system%284%2Ar%2A3=1%2Cn%2Ar%2A%281%2F2%29=1%29

system%2812r=1%2Cnr=2%29-----------------can you see a factor of 6 here?

r=1%2F12
-
n=2%2Fr
n=2%2F%281%2F12%29
n=2%2A%2812%2F1%29
highlight%28n=24%29------------------twenty-four workers