Question

37. 2 men and 5 boys can finish a piece of work in 4 days, while 3 men and
6 boys can finish it in 3 days. Find the time taken by one man alone to
finish the work and that taken by one boy alone to finish the work.



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Answer 1

Answer:

5 days

2men and 4 boys alcan complte work in 4 days so we add 1 days the q say 3 men and 5 boys so, ans is 5 days

Answer 2

Answer:

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

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.

Hope this will help you