SSC Selection Post 2024 PYQ — Question 66

SSC Selection Post - Higher Secondary Level - 26 June 2024 - Shift 2 • Quantitative Aptitude • Q66

Working separately, A and B can complete a work in 15 days and 18 days, respectively. If A starts the work and they work on alternate days, one on each day, then in how many days will the work be completed?

Show answer & explanation

Correct answer: A

Explanation

The correct answer is Option 1 i.e. 161316{{1} \over 3}.

Total work = LCM of 15 and 18 = 90

Efficiency of A = 90/15 = 6

Efficiency of B = 90/18 = 5

2 days work = 6 + 5 = 11

16 days work = 8 × 11 = 88

Remaining work = 90 - 88 = 2

Time required for remaining work = 2/6 = 1/3 days

Total time = 161316{{1} \over 3} days