## Answer :

**Answer:**

54 people 10 hours

**Step-by-step explanation:**

To determine the time it takes for 54 people to clean the house at the same pace, we can use the concept of "person-hours." Person-hours are a measure of the total amount of work done, calculated by multiplying the number of people by the number of hours they work.

Given:

36 people take 15 hours to clean the house.

First, calculate the total number of person-hours required to clean the house:

36

people

×

15

hours

=

540

person-hours

36 people×15 hours=540 person-hours

Next, we need to find out how many hours it would take for 54 people to complete the same amount of work (540 person-hours). Let

T be the number of hours it takes for 54 people to clean the house.

We set up the equation:

54

people

×

hours

=

540

person-hours

54 people×T hours=540 person-hours

Solving for

T:

=

540

person-hours

54

people

=

10

hours

T=

54 people

540 person-hours

=10 hours

Therefore, it takes 54 people 10 hours to clean the house at the same pace.