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

9 hours

12 hours

6 hours

8 hours

- Let’s find out how much work each worker does in 1 hour:

- Raju: 1/36 of wall per hour

- Angad: 1/18 of wall per hour

- Sumit: 1/24 of wall per hour

- Working together, in 1 hour they paint:

= 1/36 + 1/18 + 1/24

= (2/72) + (4/72) + (3/72)

= 9/72 = 1/8 of the wall per hour

- So, they take 8 hours to complete the wall if working together.

- Option:1, 9 hours ? Too slow

- Option:2, 12 hours ? Too slow

- Option:3, 6 hours ? Too fast

- Option:4, 8 hours ? This is correct!

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