Question

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

Step-by-step explanation:

14day*(6M+8B)= 10 day*(8M+12B)

84men + 112 boy = 80men + 120boy

4 men = 8 boy

1 man = 2 boy

men-day = 80 men +60men(i.e. 120boy)

= 140men

Time taken by a man to finish the work = 140day

Time taken by a boy to finish the work = 140day *2 = 280 days