SSC Selection Post 2024 PYQ — Question 55

SSC Selection Post - Matriculation Level - 20 June 2024 - Shift 4 • Quantitative Aptitude • Q55

At a construction site, 15 men or 10 machines can construct a room in 66 days. In how many days can 5 men and 4 machines together complete the work?

Show answer & explanation

Correct answer: D

Explanation

The correct answer is option 4 i.e. 90.

Total work by 15 men = 15 × 66 = 990 units

Total work by 10 machines = 10 × 66 = 660 units

15 men = 10 machines

men/machine = 2/3

4 machines = 4 × 3/2 = 6 men

5 men + 4 machines = 5 + 6 = 11 men

Time = 990/11 = 90 days