Question

2 men and 3 boys can do a piece of work in 10 days while 3 men and 2 boys can finish it in 8 days.Number of days taken by 2 men and 1 boy to finish it will be?

Answer 1

Number of days taken by 2 men and 1 boy to finish the piece of work = 2.66 days

Answer 2

Answer:

25 Days

Step-by-step explanation: 2 men and 3 boys can do work in 10 days then 20 men and 30 boys and do same work in 1 day.

Similarly, 3 men and 2 boys can do the work in 8 days then 24 men and 16 boys can do the same work in 1 day.

Equating above statements,

20m + 30b = 24m + 16b

i.e. 2m = 7b

Therefore, 1b= 2/7m

and 3b = 6/7m

Using chain rule,

(2+6/7)*10*2 = (2+2/7)*Days      //here 2 is multiplied because now the work is double.

Days= 25