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?

Correct option is A

Given:
12 men and 16 boys can do a piece of work in 5 days and 13 men and 24 boys can do it in 4 days
Formula Used:
1. MDH = Constant
2. Total work = Efficiency × Time
Concept Used: Total work of both sides will be equal.
Solution:
Let the efficiency of men be M unit per day and the efficiency of boy be B unit per day.
=>(12M + 16B) × 5 = (13M + 24B) × 4
=>60M - 52M = 96B - 80B
=>8M = 16B
=>M/B = 2/1
Total work = (12M + 16B) × 5
= {(12 × 2) + (16 × 1)} × 5
= (24 + 16) × 5
= 40 × 5
= 200 units