Question

2men and 5boys can do a piece of work in 4 days . The same work is done by 3 men and 6boys i 3 days . Find the time taken by 1man alone and by 1boy alone to finish the work​

Answer 1

Step-by-step explanation:

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 =

4

1

-- (1)

Similarly, 3M+6B=

3

1

--- (2)

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

36

1

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

18

1

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