Question

12 men and 16 boys can finish a work in 5 days, while 13 men and 24 boys can finish the same work in 4 days. What is the ratio of daily work done by a man to that of a boy?

• A. 1 : 1
• B. 1 : 2
• C. 2 : 3
• D. 2 : 1

Hint:

Convert people’s work into equations, then solve for the ratio.

Answer 1

The Correct Option is D

Let daily work done by a man = M, by a boy = B
Work Equation 1: (12M + 16B) × 5 = Total Work
Work Equation 2: (13M + 24B) × 4 = Total Work
60M + 80B = 52M + 96B
8M = 16B
M = 2B
So, M : B = 2 : 1