SSC Selection Post 2022 PYQ — Question 75

SSC Selection Post - Graduation Level - 5 Aug 2022 - Shift 3 • Quantitative Aptitude • Q75

A and B can separately finish a work in 15 and 20 days, respectively. A starts the work and B joins him from the fifth day. How much time will it take to finish the complete work?

Show answer & explanation

Correct answer: A

Explanation

The correct answer is option 4 i.e. 1027{2\over 7} days.

Total work = LCM of 15 and 20 = 60

Efficiency: A = 60/15 = 4 and B = 60/20 = 3

Work done by A in 4 days = 4 × 4 = 16

Remaining work = 60 - 16 = 44

Time required for remaining work = 44/(4 + 3) = 6276\frac{2}{7} days

Total time = 4 + 627=10276\frac{2}{7}=10\frac{2}{7} days