Question

20 workers require 35 days to finish a project. If the project needs to be finished 10 days earlier, how many extra workers should be hired?​

Answer 1

To solve this problem, we can use the formula:

number of workers * time = amount of work

Let's call the amount of work required to complete the project "W". Then, we know that:

20 workers * 35 days = W

To finish the project 10 days earlier, we need to reduce the time required to complete the project to 25 days. Using the same formula, we get:

(number of workers + x) * 25 days = W

where "x" is the number of extra workers needed to finish the project 10 days earlier.

We can set these two equations equal to each other, since they both represent the same amount of work:

20 workers * 35 days = (number of workers + x) * 25 days

Expanding the equation, we get:

700 = 25(number of workers + x)

Dividing both sides by 25, we get:

28 = number of workers + x

Subtracting 20 from both sides, we get:

x = 8

Therefore, we need to hire 8 extra workers to finish the project 10 days earlier.