SSC GD 2023 PYQ — Question 43

SSC GD Constable (English) - 23 Jan 2023 - Shift 2 • Quantitative Aptitude • Q43

Rabia can finish a work in 12 days. Sarita can finish the same work in 18 days. In how many days will the work be finished if they work together?

Show answer & explanation

Correct answer: B

Explanation

The correct answer is Option 1 i.e.  72107\frac{2}{10}.

Rabia can finish work in 12 days

Sarita can finish the same work in 18 days

L.C.M(12 and 18) = 216

The efficiency of Rabia = 216/12 = 18 units

The efficiency of Sarita = 216/18 = 12 units

Time taken = 216/(18 + 12) = 216/30 = 72/10 = 72107\frac{2}{10}