how many days will 1300 men take to dig trench, if 625 men can do the same in 52 days
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Answered by
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For this one our output is 'trenches' and our inputs are men and days. Expressing the example algebraically we have 6 trenches = 3 men times four days.
6t = 3m x 4d
To generalise the input for one trench, we need to create a hybid unit, the 'manday'. The number of mandays is the product of its inputs. So:
6t = 12 mandays
Solving for one trench gets us:
t = 2 md.
We can use this to solve the problem, how many days for 4 men to do 24 trenches.
24t = 48md.
We can find the number of days by dividing by our known number of men.
48 md / 4 men = 12 days.
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Answer: idk
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