Question

Contestants in a dance-a-thon rest for the same amount of time evey hoir. A couple rests for 25 minutew in 5 hours. How long did they rest in 8 hours?

Answer 1

If each couple rests for $k$ minutes every hour, the time spent resting, $r$, after $h$ hours is given by

$r = kh$

We know that a couple spent 25 minutes resting in 5 hour. So, the rate is

$25 = 5k \iff k = \dfrac{25}{5}=5$

So, every couple rests 5 minutes per hour.

This means that, after 8 hours, the couples rest

$r = 5\cdot 8 = 40$

minutes.