Multiple choice

4 boys from Ashok nagar and 6 boys from Balod together can do a piece of work in 5 days, the same work is completed by 5 boys from Ashok nagar and 10 boys from Chandan nagar in 4 days or 3 boys from Balod and 4 boys from Chandan nagar together can do in 10 days. Then how many boys from Ashok nagar can complete the same work in one day?

  1. 20

  2. 60

  3. 40

  4. 80

Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

This is a work problem involving three groups with different rates. Let A, B, C be work rates of boys from Ashok Nagar, Balod, and Chandan Nagar respectively. We have: (4A + 6B) × 5 = 1, (5A + 10C) × 4 = 1, (3B + 4C) × 10 = 1. Solving gives 1/A = 40, so 40 boys from Ashok Nagar can complete the work in 1 day. Options A (20), B (60), and D (80) don't satisfy the equations.