Question

50 men can built a 300m wall in 20 days . How many days will 25 men required to build a 60m wall

Answer 1

First, we can use the formula:

• 
  `\text{work} = \text{rate} * \text{time}`

To solve for the rate, we can use:

• 
  `\text{rate} = \frac{\text{work}}{\text{time}}`

For the first scenario, we have:

• 50 men
• 300m wall
• 20 days

We can use the formula to solve for their rate:

`\text{rate}_1 = \frac{300\text{m}}{20\text{ days} * 50\text{ men}} = 0.3 \frac{\text{m}}{\text{day} \cdot \text{man}}`

Now, let's solve for the time required for 25 men to build a 60m wall. We can use the rate from the first scenario to solve for the time:

`\text{rate}_1 = \text{rate}_2`

`0.3 \frac{\text{m}}{\text{day} \cdot \text{man}} = \frac{60\text{m}}{\text{time} \cdot 25\text{ men}}`

`\text{time} = \frac{60\text{m}}{0.3 \frac{\text{m}}{\text{day} \cdot \text{man}} \cdot 25\text{ men}} = \boxed{8 \text{ days}}`

`\therefore` 25 men can build a 60m wall in 8 days.

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