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.
27/6 = 4.5 minutes per hour
T = 27min./6h * 8h = ----min.
rest per hour = 27 min / 6
multiply the result by 8
To find out how long the couple rests in 8 hours, we can use a proportion:
Let's assume that "x" represents the amount of time the couple rests in 8 hours.
We have the following proportion:
6 hours / 27 minutes = 8 hours / x
To solve for "x", we can cross-multiply:
6 hours * x = 8 hours * 27 minutes
Now, let's convert 27 minutes to hours by dividing it by 60:
27 minutes ÷ 60 = 0.45 hours
Plugging in the values, we have:
6x = 8 * 0.45
Simplifying:
6x = 3.6
Dividing both sides by 6 to isolate "x":
x = 3.6 ÷ 6
x = 0.6
Therefore, the couple will rest for 0.6 hours in 8 hours, which is equivalent to 0.6 * 60 = 36 minutes.