During his practice this month Jeff ran one 10k in 1:01:49 and another in 57:53. How much faster was his second 10k practice? Show all your work

Respuesta :

Using the relation between velocity distance and time, it is found that his second practice was 0.66 km/h faster than his first.

What is the relation between velocity distance and time?

Velocity is distance divided by time, hence:

[tex]v = \frac{d}{t}[/tex]

On his first practice, he ran a distance of 10 km in 1:01:49, that is, 1 hour plus 109 seconds, which considering that an hour has 3600 seconds, is a time of:

[tex]t = 1 + \frac{109}{3600} = 1.0303[/tex]

Hence, the velocity in km/h is:

[tex]v_1 = \frac{10}{1.0303} = 9.71[/tex]

On the second practice, the time was of 57:53, hence:

[tex]t = \frac{57 \times 60 + 53}{3600} = 0.96472222222[/tex]

[tex]v_2 = \frac{10}{0.96472222222} = 10.37[/tex]

10.37 - 9.71 = 0.66.

His second practice was 0.66 km/h faster than his first.

More can be learned about the relation between velocity distance and time at https://brainly.com/question/24316569