12 workers take 4 hours to complete a job. How long would it take 15 workers to complete the job?

Question

asked Apr 19, 2024 129k views

1 Answer

Mspoulsen · Answer 1 · 2024-04-24T08:25:23+0000

Answer:

3 hours and 12 minutes

Explanation:

In order to solve this problem, we can use the formula:

$\sf workers * time = work$

We know that 12 workers take 4 hours to complete a job.

Therefore, we can say:

$\sf 12 * 4 = work$

Solving for work we get:

work = 48 hours

Now, we need to find out how long it would take 15 workers to complete the same job.

Let's call this time x. We can set up another equation:

$\sf 15 * x = 48$

Solving for x, we get:

$\sf x= (48 )/(15 )= 3.2$

In hours and minutes, it can be expressed as:

$\textsf{3 hours and 20\% of 60 minutes }$

$\textsf{3 hours and }\sf (20)/(100)* 60\textsf{ minutes }$

$\textsf{3 hours and 12 minutes }$

Therefore, it would take 3 hours and 12 minutes for 15 workers to complete the job.