8 men can do a work in 12 days. 4 women can do the same work in 48 days and 10 children can do the same work in 24 days. In how many days will 10 men, 4 women and 10 children do the same work?

Calculate individual rates: 8 men do in 12 days, so 1 man's rate = 1/(8×12) = 1/96 work per day. 4 women do in 48 days, so 1 woman's rate = 1/(4×48) = 1/192 work per day. 10 children do in 24 days, so 1 child's rate = 1/(10×24) = 1/240 work per day. Combined rate of 10M + 4W + 10C = 10/96 + 4/192 + 10/240 = 10/96 + 2/96 + 4/96 = 16/96 = 1/6. Therefore, they complete the work in 6 days.