Question

2men and 5 boys can do a piece of work in 4days,
while & men and 4boys can do it in 3 days. How
long would it take one
man
to do it and how many
days would it take one boy alone to do it.​

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 =

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.

Step-by-step explanation:

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