SSC CPO 2023 PYQ — Question 140

SSC CPO - 04 Oct 2023 - Shift 2 • Quantitative Aptitude • Q140

Tom can do a piece of work in 7 days, whereas Jay can do the same work in 14 days. How long will they take to finish the work if both work together?

Show answer & explanation

Correct answer: B

Explanation

The correct answer is option 2 i.e. 4 23\frac{2}{3}days.

Given that

Tom can do a piece of work in 7 days

Jay can do the same work in 14 days

Total work = LCM (7, 14) = 14

The efficiency of Tom = 14/7 = 2

The efficiency of Jay = 14/14 = 1

Hence, they will take to finish the work in = 14/(2 + 1) = 14/3 = 4 23\frac{2}{3}days