SSC CPO 2023 PYQ — Question 127

SSC CPO - 05 Oct 2023 - Shift 2 • Quantitative Aptitude • Q127

Vipin can do a piece of work in 2 days; Vaibhav can do the same work in 3 days and Chirag can do the same work in 6 days. If they start working together, how many days will they take to complete the work?

Show answer & explanation

Correct answer: B

Explanation

The correct answer is option 2 i.e. 1.

Given that

Vipin can do a piece of work in 2 days

Vaibhav can do the same work in 3 days

Chirag can do the same work in 6 days

Total work = LCM (2, 3, 6) = 6

The efficiency of Vipin = 6/2 = 3

The efficiency of Vaibhav = 6/3 = 2

The efficiency of Chirag = 6/6 = 1

If they start working together,

Hence, they will take time to complete the work = 6/(3 + 2 + 1) = 6/6 = 1