SOLUTION: It takes 8 people 3 days to dig a ditch that is 1,000 feet long, how long will it take 4 people to dig a ditch that is 500 feet long?

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Question 1052663: It takes 8 people 3 days to dig a ditch that is 1,000 feet long, how long will it take 4 people to dig a ditch that is 500 feet long?
Found 2 solutions by Fombitz, stanbon:
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Number of workers x Rate x Time=Length
8%2A3%2AR=1000
R=1000%2F24<--- I'll simplify at the end
So then,
4%2AT%2A%281000%2F24%29=500
T=%28500%2824%29%29%2F4000
T=3days


Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
18): It takes 8 people 3 days to dig a ditch that is 1,000 feet long, how long will it take 4 people to dig a ditch that is 500 feet long?
Note:: time and # of people are indirectly related
time and length of ditch are directly related
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t = k*L/p
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Solve for "k" using "It takes 8 people 3 days to dig a ditch that is 1,000 feet long,
3 = k*1000/8
k = 24/1000
k = 0.024
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Equation:t = days
t = 0.024*L/p
---
how long will it take 4 people to dig a ditch that is 500 feet long? 0
t = 0.024*500/4
t = 12/4
t = 3 days
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Cheers,
Stan H.
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