Question

4. 6 men and 8 boys can finish a piece of work in 14 days while 8 men and 12 boys can do it in
10 days. Find the time taken by one man alone and that by one boy alone to finish the work​

Answer 1

Answer:

(6m+8b)×14= (8m+12b)×10

84m-80m = 120b-112b

= 4m= 8b

efficiency of each men= 2 & efficiency of each boy = 1

total work = (6×2+8×1)×14= 280

time taken by 1 man & 1 boy to complete the work = 280/ 3= 9⅓ days (ans)