SSC Selection Post 2023 PYQ — Question 56

SSC Selection Post - Matriculation Level - 27 June 2023 - Shift 2 • Quantitative Aptitude • Q56

A and B can do a piece of work in 16 days and 12 days, respectively. Both work for 4 days and then A goes away. Find how long will B take to complete the remaining work.

Show answer & explanation

Correct answer: D

Explanation

The correct answer is option 4 i.e. 5 days.

Combined work rate = (1/16 + 1/12) = 7/48 per day

Work done in 4 days = 4 × 7/48 = 7/12

Remaining work = 1 - 7/12 = 5/12

Time for B to complete the remaining work = (5/12)/(1/12) = 5 days