SSC GD 2019 PYQ — Question 70

SSC GD Constable (English) - 12 Feb 2019 Shift 3 • Quantitative Aptitude • Q70

16 workers working 8 hours per day can demolish a building in 32 days. In how many days 24 workers working 12 hours per day can demolish the same building?

Show answer & explanation

Correct answer: C

Explanation

The correct answer is option 3 i.e. 128/9 days.

Understanding/Application

16 workers working 8 hours per day can demolish building in days = 32

(MDH)/W = CONSTANT

where, M = Number of people, D = Number of days, H = Number of hours, W = Work done

Let 24 workers working 12 hours a day can demolish building in x days.

ATQ -

(16 × 8 × 32)/1 = (24 × 12 × x)/1

9x = 128

x = 128/9 days