SSC GD 2021 PYQ — Question 59

SSC GD Constable (English) - 18th November 2021 Shift 1 • Quantitative Aptitude • Q59

A can complete a work in 10 days and B can complete it in 15 days. If they work on it together for 5 days, then the fraction of the work left will be:

Show answer & explanation

Correct answer: A

Explanation

The correct answer is option 1 i.e. 1/6

A can do the work = 10 days

B can do the work = 15 days

Total work = LCM of the 10 and 15 = 30

Efficiency of A = 30/10 = 3

Efficiency of B = 30/15 = 2

Their 5 days work = (3 + 2) × 5 = 25

Remainig work = 30 - 25 = 5 unit

Fraction of the remaining work = 5/30 = 1/6