Question

If 5 boys can finish a piece of work in 8 days how many days will 6 boys take to the same piece of work​

Answer 1

5 boys finish work in 8 days

6 boys finish work in x days

5:8 :: 6:x

a:b :: c:d

multiplying

$a \times c \: and \: b \times d \\ 5 \times 6 \: and \: 8 \times x \\ \ \ \\ x = 5 \times 6 \div 8 \\ x = 5 \times 3 \div 4 \\ x = 15 \div 4 \\ = 3 \: half \: days$