3 men and 4 boys can do a work in 11 days, while 4 men and 3 boys can do it in 10 days. How many days will 2 men and 1 boy take?
A. 20 days
B. 22 days
C. 25 days
D. 24 days
1 answer
Best answer
Answer: B. 22 days
Answer: (B) 22 days
Let a man do m and a boy b of the work per day. 3m + 4b = \(\frac{1}{11}\) and 4m + 3b = \(\frac{1}{10}\).
Adding: 7(m + b) = \(\frac{21}{110}\), so m + b = \(\frac{3}{110}\). Subtracting: m − b = \(\frac{1}{110}\). So m = \(\frac{2}{110}\) and b = \(\frac{1}{110}\).
2m + b = \(\frac{5}{110} = \frac{1}{22}\), so they take 22 days.
Doubtly AI
· 27 Oct 2026
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