SSC Selection Post 2024 PYQ — Question 58

SSC Selection Post - Higher Secondary Level - 20 Jun 2024 - Shift 2 • Quantitative Aptitude • Q58

P and Q can complete a job in 4 days and 12 days, respectively. They work on alternate days with P starting the job. In how many days will the job be completed?

Show answer & explanation

Correct answer: A

Explanation

The correct answer is Option 1 i.e. 6 days.

Total work = 12 (LCM of 4 and 12)

Efficiency of P = 12/4 = 3

Efficiency of Q = 12/12 = 1

In 2 days, P and Q complete the work = 3 + 1 = 4

Total time required = (12/4) × 2 = 3 × 2 = 6 days