Maths-

General

Easy

Question

# If 32 men can reap a field in 15 days, in how many days can 20 men reap the same field?

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: 24 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 32 men can reap a field in 15 days i.e. x = 15 and y = 32. Putting the values in equation (1)

32 =

k = 32 15 = 480

Step 2 of 2:

Now we are asked to find the number of days taken by 20 men. Let the number of days be “d”. So, x = d and y = 20. Putting the values in equation (1)

20 =

Now, put the value of k = 480

20 =

d =

d = 24 days

Final Answer:

Hence, the number of days taken by 20 men to reap the field are 24 days.

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