Question

4 men and 6 boys can finish a piece of work in 5 days, while 3 men and 4 boys can finish it in 7 days. Find the time taken by 1 man alone or that by 1 boy alone to finish the work

Answer 1

One boy and one men can finish work in 10days

Answer 2

↑ Here is your answer ↓
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Let 1 boy's work in 1 day be 1/b
and 1 man's work in 1 day be 1/m
Now,
4 men and 6 boys work in 1 day = $4/ m + 6/b = 1/5 .....(1)$
And,

3 men and 4 boys work in 1 day = $3/m + 4/ b = 1/7....... (2)$
After solving eq. 1 and 2 we have,

Boy = 70 days, Man = 35 days