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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?

Respuesta :

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

[tex] r = kh [/tex]

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

[tex] 25 = 5k \iff k = \dfrac{25}{5}=5 [/tex]

So, every couple rests 5 minutes per hour.

This means that, after 8 hours, the couples rest

[tex] r = 5\cdot 8 = 40 [/tex]

minutes.

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