SSC CGL 2023 PYQ — Question 65

SSC CGL - 21 July 2023 - Shift 1 • Quantitative Aptitude • Q65

If A and B together can do a piece of work in 20 days, and A alone can do the same work in 30 days, then in how many days can B alone complete the same work?

Show answer & explanation

Correct answer: C

Explanation

The correct answer is option 3 i.e. 60.

Given:

If A and B can do a piece of work together in 20 days,

A alone can do the same work in 30 days

Calculations:

Total work (LCM of 20 and 30) = 60 units 

Efficiency of A = 60/30 = 2

Efficiency of A and B = 60/20 = 3

So, the efficiency of B = 3 - 2 = 1

Required number of days = 60/1 = 60 days

Hence, B alone can complete the whole work in 60 days.