SSC GD 2024 PYQ — Question 48

SSC GD Const (English) - 29 Feb 2024 - Shift 3 • Quantitative Aptitude • Q48

14 pumps working 8 hours a day can empty a completely filled reservoir in 18 days. How many such pumps working 12 hours a day will empty the same reservoir in 4 days?

Show answer & explanation

Correct answer: B

Explanation

The correct answer is Option 2 i.e. 42.

Given:

14 pumps working 8 hours a day can empty a completely filled reservoir in 18 days.

Concept Used:

M1 × D1 × H1 = M2 × D2 × H2

Here, M = Mens, D = days, H = hours

Explanation:

Let the required pimps be P

⇒ 14 × 18 × 8 = P × 4 × 12

⇒ P = (14 × 18 × 8)/(4 × 12)

⇒ P = 14 × 3

⇒ P = 42