12 men and 16 boys can do a piece of work in 5 days, while 13 men and 24 boys can do it in 4 days. In how many days can 29 men and 22 boys complete the work?
Show answer & explanation
Correct answer: A
Explanation
The correct answer is Option 1 i.e. 2.5.
Calculations:
Let the efficiency of a man and a boy be M and B
According to the question;
⇒ (12M + 16B) × 5 = (13M + 24B) × 4
⇒ 60M + 80B = 52M + 96B
⇒ 8M = 16B
⇒ M/B = 2/1
Total work = (12M + 16B) × 5 = 200
Required time taken = 200/(29M + 22B)
⇒ 200/(58 + 22) = 200/80
⇒ 2.5 days