Maths-

General

Easy

Question

# 12 men can dig a pond in 8 days. How many men can dig it in 6 days?

Hint:

**Hint:**

In a proportional relationship, the variables are related by a constant ratio(k). For example, the equation which can relate the two variables can be written in the form:

y = (constant) x or y = k x.

So, for solving these types of questions we need to create a proportional relationship between the variables. These relationships can be direct, inverse etc.

## The correct answer is: 6 days.

### Let the number of days be represented as x and the number of men be represented as y. The number of men will increase if the number of days are decreased so we can conclude that y is in inverse relationship with x. Let’s say the proportional relationship is given as

y = ……..(1)

Step 1 of 2:

It is given that 12 men can dig a pond in 8 days i.e. x = 8 and y = 12. Putting the values in equation (1)

12 =

k = 12 8 = 96

Step 2 of 2:

Now we are asked to find the number of men if 6 days are taken by them. Let the number of men be “m”. So, x = 6 and y = m. Putting the values in equation (1)

m =

Now, put the value of k = 96

m =

m = 16 men

Final Answer:

Hence, 16 men can dig the pond in 6 days.

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