Question

8 men and 12 boys can finish a piece of work in in 10 days while 6 men and 8 boys can finish it in 14 days. Find the time taken by a single man and a single boy to do this work.​

Answer 1

Answer:

single men takes 15 days

and single boy takes 13 days

Step-by-step explanation:

let time taken by man be x

and boy be y

8x + 12y = 10.....(1)

6x + 8y = 14.......(2)

so let's solve these equations.

equation (1)×6=>48x+60y=60.... (3)

equation (2)×8=>48x+64y=112..... (4)

subtract (3) by (4)

48x+64y=112

48x+60y=60

_______________

4y=52

y=13

substitute y=13 in (3)

48x+60y=60

48x+60(13)=60

48x=60 -780

x= -15

time cannot be -ve therefore x= 15

So, single men takes x days i. e 15 days

and single boy takes y days i. e 13 days