Maths-

General

Easy

Question

# A certain project can be completed by 6 workers in 27 days. In order to complete the project sooner, the company plans to hire additional workers. How many workers are needed to complete the project in 18 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: 18 days.

### Let the number of workers be represented as x and the time taken to complete the project be represented as y. Time taken to complete the project decreases if the number of workers increases so we can conclude that x is in inverse relationship with y. Let’s say the proportional relationship is given as

y = ……..(1)

Step 1 of 2:

It is given that the project can be completed by 6 workers in 27 days i.e. x = 6 and y = 27. Putting the values in equation (1)

6 =

k = 6 27 = 162

Step 2 of 2:

Now we are asked to determine the number of additional workers if the time taken to complete the project is 18 days. So, y = 18 and we need to find x. Putting the values in equation (1)

18 =

Now, put the value of k = 162

18 =

x =

x = 9 workers

Number of additional workers = 9 - 6 = 3 workers

Final Answer:

Hence, the company needs to hire 3 more additional workers to complete the project in 18 days.

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