63ʳᵈ B.P.S.C. (Pre) Exam. 2017

10 women can complete a work in 7 days and 10 children take 14 days to complete the work. How many days will 5 women and 10 children take to complete the work? ## Page 12 CLICK HERE - JOIN @APNAPDFS

a6
b5
c3
d7✓ Correct
e4

Explanation

∴ Work of (10 × 7) women = work of (14 × 10) children ∴ Work of 1 women = work of ($\frac{14 \times 10}{10 \times 7}$) children ∴ Work of 1 women = work of 2 children ∴ Work of 5 women and 10 children = Work of (5 × 2 + 10) Children = Work of 20 Children M₁D₁ = M₂D₂ 14 × 10 = 20 × D₂ D₂ = $\frac{140}{20} \Rightarrow$ 7 Day

general-mental-ability