SOLUTION: it takes 3 men to dig 2 identical trenches in 5 hours.If all the men work at the same rate,how long will it take 5 men to dig 7 of these trenches?

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Question 898300: it takes 3 men to dig 2 identical trenches in 5 hours.If all the men work at the same rate,how long will it take 5 men to dig 7 of these trenches?

Found 2 solutions by josmiceli, MathTherapy:
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
3 men take 5 hrs to dig 2 trenches
---------------------------------
5 times as many men will take 1/5 of that
time to dig the same number of trenches, so
---------------------------------------
15 men take 1 hr to dig 2 trenches
--------------------------------
The same number of men will take 1/2 of that time
to dig 1/2 as many trenches, so
--------------------------------
15 men take 1/2 hr to dig 1 trench
--------------------------------
1/3 as many men will take 3 time as long to dig
the same number of trenches, so
---------------------------------
5 men take 3/2 hrs to dig 1 trench
---------------------------------
The same number of men will take 7 times as long
to dig 7 trenches, so
---------------------------------
5 men will take 21/2 hrs to dig 7 trenches
---------------------------------------
+21%2F2+=+10.5+
5 men will take 10.5 hrs to dig 7 trenches
----------------
Hope I got it


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

it takes 3 men to dig 2 identical trenches in 5 hours.If all the men work at the same rate,how long will it take 5 men to dig 7 of these trenches?

10%261%2F2, or highlight_green%2810.5%29 hours