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

1 man can finish the work in 8×12 = 96 days

1 woman can finish the work in 4×48 = 1 /92 days

1 child can finish the work in 10×24 = 240 days

1 man’s 1 day’s work = 1/96

1 woman’s 1 day’s work = 1/192

1 child’s 1 day’s work = 1/240

(10 men + 4 women + 10 children)’s 1 day’s work

= (10/96+4/192+10/240)

= (5/48+1/48+1/24)

=(5+1+2/48)

= 8/48=16

Hence, they will finish the work in 6 days