Question

If 15 men can do a piece of work in 3 days then 9 men will do it ​

Answer 1

Answer:

$= 15 \: men \: can \: do \: a \: piece \: of \: work \: in \: 3 \: days \\ = 1 \: man \: = \frac{3}{15} \\ 9 \: men = \frac{3}{15} \times 9 \\ \\ = \frac{27}{15} \\ = \frac{9}{5} \: days$

Answer 2

Answer:

GIVEN-

➡Number of days taken by 15 men=3 days

➡Number of days taken by 9 men= 'x' days

Step-by-step explanation:

SOLUTION-

$\bold\red{less\:men➡more\:days}$

$\bold\green{◀Inverse\:Variation▶}$

$15 \times 3 = 9 \times x \\ = x = \frac{15 \times 3}{9} \\ \\ = x = \frac{5 \times 3}{3} \\ \\ = x = 5$

So, 9 men will take 5 days to complete a piece of work.