Question

46. 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.​

Answer 1

Answer:

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.​

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 = 1/4    ------------------( i )

Similarly, 3M+6B= 1/3        ------------------------------- ( ii )

Solving equations (i) and (ii), we get B= 1/36

 Substituting B in equation (ii), we get M= 1/18

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