Question

One custodian cleans a suite of offices in 8 hours. When a second worker is asked to join the regular​ custodian, the job takes only 4 hours. How long does it take the second worker to do the same job​ alone?

Answer 1

The second worker needs 8 hours to clean the suite alone.

How long does it take the second worker to do the same job​ alone?

The first work does the job in 8 hours, then we can write the rate as:

R*8h = 1 suite

R = (1/8) suite per hour.

The other worker works at a rate R', and when they work together they need 4 hours, then:

(R + R')*4h = 1 suite.

Now we can solve this for R':

R' = (1/4) suite per hour - R =  (1/4) suite per hour - (1/8) suite per hour

R' =  (2/8) suite per hour - (1/8) suite per hour = (1/8) suite per hour.

So the second worker works at the same rate than the first one, which means that he would need 8 hours to clean the suite alone.

If you want to learn more about rates of work:

https://brainly.com/question/8728504

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