Question

The time it takes to clean up after an anniversary party varies inversely as the number of people cleaning. If 3 people work together to clean, it will take them 90 minutes. How long will it take if the number of people cleaning is increased to 5?

Answer 1

Answer: 54 minutes

Step-by-step explanation:

Answer 2

Answer:

54minutes

Step-by-step explanation:

Let the time taken to clean up be t

Let the number of people cleaning be n

If the time it takes to clean up after an anniversary party varies inversely as the number of people cleaning then;

t = k/n

k is the constant of proportionality

If 3 people work together to clean, and took them 90 minutes, this means

at t = 90, n=3

Substitute

90 = k/3

k = 3×90

k = 270

To et the time it will take 5people to clean, the will say;

t =k/n

t =270/5

t = 54 minutes

Hence it will take 5 people 54minues to clean