How many days will 1300 men take to dig trench, if 625 men can do the

1.	How many days will 1300 men take to dig trench, if 625 men can do the same in 52 days
Answer» 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.

How many days will 1300 men take to dig trench, if 625 men can do the same in 52 days

Answer»

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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