Problem Statement:

If 12 men can weave 15 metres of cloth in a day, how many metres of cloth can be woven by 20 women in a day?

Solution:

To solve this problem, we need to determine the relationship between the number of men and women and the amount of cloth they can weave in a day.

Given:
- 12 men can weave 15 metres of cloth in a day.

To find:
- The number of metres of cloth that can be woven by 20 women in a day.

Assumptions:
- We assume that the weaving speed and efficiency of men and women are the same.
- We assume that the cloth weaving process remains consistent regardless of the number of individuals involved.

Approach:

To find the number of metres of cloth that can be woven by 20 women in a day, we can use the concept of proportionality.

We can set up a proportion equation as follows:

(Number of men) / (Number of women) = (Amount of cloth woven by men) / (Amount of cloth woven by women)

Let's calculate the amount of cloth woven by 20 women.

Calculations:
- Number of men = 12
- Amount of cloth woven by men = 15 metres

Using the proportion equation:

(12 men) / (20 women) = (15 metres) / (x metres)

Cross-multiplying:

12 * x = 20 * 15
12x = 300
x = 300 / 12
x = 25

Therefore, 20 women can weave 25 metres of cloth in a day.

Answer:
- The 20 women can weave 25 metres of cloth in a day.

Explanation:
- The given information states that 12 men can weave 15 metres of cloth in a day. This implies that the rate of cloth weaving is constant for men.
- To find the amount of cloth woven by 20 women, we set up a proportion equation using the concept of proportionality.
- By cross-multiplying and solving the equation, we find that 20 women can weave 25 metres of cloth in a day.