Question

6 men and 8 boys can do a piece of work in
7 days, while 8 men and 12 boys do the same
work in 5 days. How long would it take one
boy to finish the same work ?​

Answer 1

Answer:

LET THE MEN BE X

LET THE BOYS BE Y

case:1

6x+8y=7........eq 1)×3

case:2

8x+12y=5......eq 2)×2

now,

18x+24y=21........eq3)

16x+24y=10..........eq 4)

subtracting eq 3 and 4

18x+24y=21

-16x-24y=-10 (-+=-)

2x=11

x=11÷2