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?

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.