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 = (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.