Contestants in a dance marathon rest for the same amount of time every hour. a couple rests for 27 minutes in 6 hours. how long does the couple rest in 8 hours? show your work.

In the given question, there are several important information's that needs to be noticed. based on these information's the correct answer to the question can be easily deduced. It is already known that the contestants rest for the same amount of time every hour. In 6 hours they rest for 27 minutes. The 6 hours has to be converted to minutes first.
Then 6 hours = (6 * 60) minutes
                       = 360 minutes
So we have to first determine the amount of rest each contestants take in 1 hour.
Then
In 360 minutes the couple rests for a total time = 27 minutes
In 60 minutes the couple will rest for = (27/360) * 60
                                                           = 4.5 minutes
So the couple rests for 4.5 minutes in 1 hour
Then
In 8 hours the couple will rest for = (8 * 4.5) minutes
                                                     = 36 minutes.
The couple will rest for 36 minutes in 8 hours.