Question

12 men and 16 women can complete a job in 5 days. 13 men and 24 women can complete the same job in 4 days. How long in days, will 5 men and 10 women take to complete the same job?

• A. 5
• B. 12
• C. 10
• D. 15

Answer 1

Answer:

C. 10

Solution:

Given:

12 men and 16 women can complete a job in 5 days. 13 men and 24 women can complete the same job in 4 days.

Concept used:

Time and work

Calculation:

Equating the total work 

⇒ (12 M + 16 W) × 5 = (13 M + 24 W) × 4

⇒ 60 M + 80 W = 52 M + 96 W

⇒ 8 M = 16 W

$\frac{M}{W}=\frac{2}{1}$

Total work =  (12 M + 16 W) × 5

Total work = (12 × 2 + 16 × 1)× 5 

Total work = 200 unit

5 men and 10 women take to complete the same job in 

⇒ (5 × 2 + 10 × 1) = 20 unit 

$\frac{200}{20}=10days$