SSC Selection Post 2022 PYQ — Question 67

SSC Selection Post - Matriculation Level 2022 - 7 Feb 2022 - Shift 2 • Quantitative Aptitude • Q67

A can finish one-third of the work in 5 days, and B can finish 50% of the same work in 15 days. If they work together, then in how many days will they finish 50% of the work?

Show answer & explanation

Correct answer: D

Explanation

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

Time taken by A to complete whole work = 5 × 3 = 15 days

Time taken by B to complete whole work = 15 × 2 = 30 days

LCM(15, 30) = 30

The efficiency of A = 30/15 = 2 units

The efficiency of B = 30/30 = 1 units

Time taken to finish 50% of the work = 50100×30(2+1){50\over100}\times30\over(2+1) = 15315\over3 = 5 days