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24 Women can complete a work in 50 days, 48 women have started work for x days, after that 24 more women joined them and completed the remaining work in 10 days. Find the value of x.
10
18
6
12
15
- 24 women can finish the work in 50 days. This means the total work can be represented as 24 women × 50 days.
- Calculate the total work as 1200 women-days (since 24 × 50 = 1200).
- 48 women work for x days, completing some part of the work. This can be calculated as 48x women-days.
- The remaining work after 48 women work for x days is 1200 - 48x women-days.
- When 24 more women join, making it 72 women, they complete the remaining work in 10 days.
- This gives us the equation: 72 × 10 = 1200 - 48x.
- Simplifying gives 720 = 1200 - 48x.
- Solving for x, we get 48x = 480, so x = 10.
- Correct Answer: Option 1 - 10
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