SSC CPO 2023 PYQ — Question 130

SSC CPO - 03 Oct 2023 - Shift 3 • Quantitative Aptitude • Q130

Ramesh does half as much work as Parul in 45\frac{4}{5} of the time. If together Ramesh and Parul take 24 days to complete the work, then how much time will Parul take to do it?

Show answer & explanation

Correct answer: D

Explanation

The correct answer is option 4 i.e. 39 days.

Given that

Ramesh does half as much work as Parul in 45\frac{4}{5} of the time

Ramesh and Parul take 24 days to complete the work

Concept used

Efficiency ∝ (Work/Time)

Work = Time × Efficiency

According to the question

The Ratio of efficiency of Ramesh and Parul = 5: 8 

So, Total work = (5 + 8) × 24 = 312

Hence, Parul do the complete work in = 312/8 = 39 days