SSC MTS 2022 PYQ — Question 55

SSC MTS - 18 July 2022 - Shift 1 • Quantitative Aptitude • Q55

A and B together can do a piece of work in 24 days. A alone can do this work in 40 days. In how many days can B alone do this work?

Show answer & explanation

Correct answer: C

Explanation

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

Calculations:

Total work (LCM of 24 and 40) = 120 units

Efficiency of A + B = 120/24 = 5

Efficiency of A = 120/40 = 3

Efficiency of B = 5 - 3 = 2

Hence, the number of days taken by B to complete the work = 120/2 = 60 days