SSC GD 2023 PYQ — Question 50

SSC GD Constable (English) - 2 Feb 2023 - Shift 3 • Quantitative Aptitude • Q50

14 people can complete (5/12) parts of a work in 18 days, working 7 hours daily. How many hours of work will 21 people complete the rest of the work in 15 days?

Show answer & explanation

Correct answer: A

Explanation

The correct answer is option 1 i.e. 721257\frac{21}{25}

Given that

14 people can complete (5/12) parts of a work in 18 days, working 7 hours daily

Let 21 people complete the remaining part (7/12) of the work in 15 days with H hours daily

According to the question

⇒ (14 × 18 × 7) × (12/5) = (21 × 15 × H) × (12/7) 

⇒  H = 196/25

⇒ H = 721257\frac{21}{25}