8 girls and 12 boys can complete a piece of work in 4 days, while 10 girls and 6 boys can complete it in 6 days. How long will 5 girls and 3 boys take to complete this same piece of work?
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. 12 days.
Calculations:
Let the number of girls and boys be G and B.
According to the question;
⇒ (8G + 12B) × 4 = (10G + 6B) × 6
⇒ 16G + 24B = 30G + 18B
⇒ G/B = 3/7
Total work = (8G + 12B) × 4 = 432
Work done by 5 girls and 3 boys = 5G + 3B = 15 + 21 = 36
Hence, the required number of days taken by 5 girls and 3 boys = 432/36 = 12 days