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Multiple Choice Questions

Some carpenters promised to do a job in 15 days but 3 of them were absent and remaining did the job ...........

Quantitative Aptitude (MTS) Time and work

Some carpenters promised to do a job in 15 days but 3 of them were absent and remaining did the job in 20 days. What was the original number of carpenters?

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Explanation:

- Let's say the original number of carpenters was \( x \).
- They promised to complete the job in 15 days, meaning they would do 1/15 of the job in one day.
- If 3 carpenters were absent, then \( x - 3 \) carpenters completed the job in 20 days, doing 1/20 of the job in one day.
- We set up the equation: \( \frac{x-3}{x} = \frac{15}{20} \), which simplifies to \( \frac{3}{4} \).
- Solve \(\frac{x-3}{x} = \frac{3}{4}\) to find \( x = 12 \).

🔎 **Option 3: 12 is the correct answer**.

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