SSC GD 2023 PYQ — Question 55

SSC GD Constable (English) - 7 Feb 2023 - Shift 2 • Quantitative Aptitude • Q55

A and B working together can finish a project in 16 days while B alone can do it in 24 days. In how many days can A alone finish the project ?

Show answer & explanation

Correct answer: C

Explanation

The correct answer is Option 3 i.e. 48 days.

A and B working together can finish a project in 16 days while B alone can do it in 24 days.

L.C.M(16 and 24) = 48

The efficiency of A and B = 48/16 = 3 units

The efficiency of B = 48/24 = 2 units

Thus, the efficiency of A = 3 - 2 = 1 unit

Time taken by A = 48/1 = 48 days