SSC CPO 2022 PYQ — Question 105

SSC CPO - 10 Nov 2022 - Shift 1 • Quantitative Aptitude • Q105

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?

Show answer & explanation

Correct answer: D

Explanation

 The correct answer is option 4 i.e. 8 hours

According to the question

Raju * 36 hours = Angad * 18 hours  = Sumit * 24 hours

Raju : Angad: Sumit = 2 : 4 : 3

Total work = 2 * 36 = 72 hours

if they all work together

then they can paint the wall = 72/(2 + 4 + 3) = 72/9 = 8 hours