SSC GD 2019 PYQ — Question 62

SSC GD Constable (English) - 18 Feb 2019 Shift 1 • Quantitative Aptitude • Q62

Working 2 hours in a day, P can complete a work in 10 days and working 5 hours in a day, Q can complete the same work in 6 days. Working 3 hours in a day, in how many days both P and Q together can complete the same work?

Show answer & explanation

Correct answer: C

Explanation

The correct answer is option 3 i.e. 4 days.

Understading/Application

P complete work in 20 hours and Q complete in 30 hours.

Let total work to be done = L.C.M.(20,30) = 60 units

P's efficiency = 60/20 = 3units/hr and Q's efficiency = 60/30 = 2 units/hr

If they work 3 hours in a day, work done by them = 3(3 + 2) = 15 units

Number of days taken = 60/15 = 4 days