Question

if 200 people can do a piece of working in 7 days then the number of people required to complete the work in 28 days​

Answer 1

Given :

• 200 people can do a piece of working in 7 days.

To find :

• The number of people required to complete the work in 28 days.

Step-by-step explanation :

Let, the x number of people required to complete the work in 28 days.

Thus, our table look like,

Day's People

7 200

28 x

Now, as the number of days is increases.

So, The total number of people is also increases .

∴ It is case of inverse variation :

➮ 7/28 = 200/x

➮7 × x = 28 × 200

➮ 7x = 28 × 200

➮ x = 28 × 200/7

➮ x = 4 × 200

➮ x = 800

Therefore, the 800 number of people required to complete the work in 28 days.

Answer 2

$\huge\mathfrak{Answer:}$

Given:

• It is given that 200 people can do a piece of work in 7 days.

To Find:

• We need to find the number of people required to complete the work in 28 days.

Solution:

Let the number number of people required to complete the work in 28 days be x.

Table shown in attachment.

As the number of days increases, the total number of people also increases.

Therefore, we have

$\sf{ \dfrac{7}{28} = \dfrac{200}{x} }$

$\implies\sf{7 \times x = 200 \times 28}$

$\implies\sf{7x = 5600}$

$\implies\sf{x = \dfrac{5600}{7}}$

$\implies\sf{x = 800}$

Hence, the number of people required to complete the work in 28 days is 800.