Q1. If 12 boys or 18 girls can do a certain work in 14 days, in how many days will 8 boys and 16 girls do the same work?
Explanation
Since 12 boys finish the work in 14 days, one boy’s one-day work is 1/168. Since 18 girls finish it in 14 days, one girl’s one-day work is 1/252. Together, 8 boys and 16 girls do 8/168 + 16/252 = 1/21 + 4/63 = 7/63 = 1/9 of the work per day. So they complete the work in 9 days. The values 7, 11, and 13 do not satisfy the combined daily-work rate calculated from the given boy-girl equivalence.
