SSC GD 2019 PYQ — Question 67

SSC GD Constable (English) - 12 Feb 2019 Shift 1 • Quantitative Aptitude • Q67

C alone can complete a work in 20 days and D alone can complete the same workin 30 days. In how many days C and D together can complete the same work?

Show answer & explanation

Correct answer: B

Explanation

The correct answer is option 2 i.e. 12 days.

Understanding/Application

C can complete work in 20 days.

D can complete work in 30 days.

L.C.M of 20 and 30 = 60

Let the total work done be 60 units.

Efficiency of C = 60/20 = 3 units/day

Efficiency of D = 60/30 = 2 units/day

Efficiency of C and D together = 5 units/day

Time taken by C and D to complete work = 60/5 = 12 days