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Multiple Choice Questions

At a construction site Raju can paint a wall in 36 hours while Angad can do the same work in 18 hour...........

Quantitative Aptitude (CPO) Time and work

At a construction site, Raju can paint a wall in 36 hours, while Angad can do the same work in 18 hours. Sumit can paint the

same wall in 24 hours. In how much time can they paint the wall if they all work together?

This questions was previously asked in

SSC CPO 10th Nov 2022 Shift 1

View All SSCCPO Previous Year Papers

9 hours

12 hours

6 hours

8 hours

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Explanation:

8 hours

- Raju, Angad, and Sumit have different paces. They can paint the wall in 36, 18, and 24 hours, respectively.
- To find the time they take together, calculate their combined rate.
- Raju's rate: \( \frac{1}{36} \) of the wall per hour.
- Angad's rate: \( \frac{1}{18} \) of the wall per hour.
- Sumit's rate: \( \frac{1}{24} \) of the wall per hour.
- Combined rate: \( \frac{1}{36} + \frac{1}{18} + \frac{1}{24} = \frac{1}{12} \).
- This means they can complete the wall together in 12 hours.

**Option 2: 12 hours** ✅ is the correct answer.

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