Question

2 men and 5 boys together can finish a piece of work in 4 days, while 3 men and 6 boys can finish<br />it in 3 days. Find the time taken by 1 man alone to finish the work and than taken by 1 boy alone . ​

Answer 1

Answer:

Let the amount of work done by a Man alone in a day be M and by a Boy alone be B

Given, 2 men and 5 boys together can finish a piece of work in 4 days

Amount of work they can do in one day 2M + 5B = 1 ÷ 4 --- (1)

Similarly, 3M + 6B = 1 ÷ 3 --- (2)

Solving equations (1) and (2), we get B = 1 ÷ 36

Substituting B in equation (2), we get M = 1 ÷ 18

Hence, one man alone will take 18 days to do the work and one boy will take 36 days.