SSC GD 2023 PYQ — Question 59

SSC GD Constable (English) - 13 Jan 2023 - Shift 2 • Quantitative Aptitude • Q59

Akhil can complete a piece of work in 26 days. Sakshi and Akhil both can complete the same work in 20 days. They started together but Sakshi left after working for 6 days. Find the number of days in which Akhil will complete the remaining work.

Show answer & explanation

Correct answer: D

Explanation

The correct answer is Option 4 i.e. 91/5 days.

Akhil can complete a piece of work in 26 days. Sakshi and Akhil both can complete the same work in 20 days

L.C.M(26 and 20) = 260

The efficiency of Akhil = 260/26 = 10 units

The efficiency of Akhil and Sakshi = 260/20 = 13 units

The efficiency of Sakshi = 13 - 10 = 3 units

Now, according to the question

They worked together for 6 days = 6 × 13 = 78 units

Remaining work = 260 - 78 = 182 units

Akhil can complete in = 182/10 = 91/5 days