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.
