Question

if 52 men can do a piece of work in 35 days. In how many days will 28 men compete the same work.​

Answer 1

Answer:

52x=35×28

x=35×28

52

x=980

52

x=18.846153846

Answer 2

Solution

Let 28 men do the same work in x days.

Therefore we have,

Number of men = 52 , 28

Days = 35 , x

Clearly, as the number of men decreases, the number of days will increase.

So, it is a case of inverse variation.

$hence \: \: \: 52 \times 35 = 28 \times x$

$x = \frac{52 \times 35}{28}$

$x = 65$

= 28 men will do the work in 65 days.