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Directions: Answer the question based on the information given below: X men can complete a work in Y days. Y women can complete the work in X days. 20 men and 16 women working together can complete the same work in 53 1/3 days.
20 men and 24 women started working together. They worked together for 0.6D days. After that B number of boys did the work in 0.45D days, then the whole work is completed which B number of boys can complete it in D days. What is the value of D?
42
40
36
45
None of these
- The work equations for men and women give us: X men's work for Y days = Y women’s work for X days.
- The combined work rate of 20 men and 16 women finishing the task in 53 1/3 days gives a system of equations.
- Let one man's daily work be 'm' and one woman's daily work be 'w'.
- From equation: 20m + 16w = 1/(53 1/3).
- 20 men and 24 women work for 0.6D days. Remaining work done by B boys in 0.45D days.
- All combined work solves to: (20m + 24w) * 0.6D + B * 0.45D = Total work in terms of B and D.
- Simplifying gives the correct D value.
The correct calculation aligns with option 3.
Correct Answer: Option 3, 36
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