SSC GD 2023 PYQ — Question 58

SSC GD Constable (English) - 31 Jan 2023 - Shift 4 • Quantitative Aptitude • Q58

Anil and Bablu can do a given piece of work in 50 days, Bablu and Candy can do the same work in 60 days, and Anil, Bablu, and Candy complete it in 30 days. Find the number of days required by Bablu to finish the total work.

Show answer & explanation

Correct answer: B

Explanation

The Correct answer is option 2 i.e. 300 days

Given that

Anil and Bablu can do a given piece of work in 50 days

Bablu and Candy can do the same work in 60 days.

Anil, Bablu, and Candy complete it in 30 days.

Total work = LCM (30, 60, 50) = 300

The efficiency of Anil and Bablu = 300/50 = 6

The efficiency of Bablu and Candy = 300/60 = 5

The efficiency of Anil, Bablu, and Candy = 300/30 = 10

The efficiency of Anil = 10 - 5 = 5

The efficiency of Candy = 10 - 6 = 4

The efficiency of Bablu = 10 - (5 + 4) = 1

Hence, Bablu has to finish the total work = 300/1 = 300 days