Olympic runner competing in a long distance event finishes with a time of 2 hours, 27 minutes, and 25 econds. The event has a distance of 25.9 miles. What is the average speed of the runner in km /h? Number km/ h

Respuesta :

Answer:

16.97km/h

Explanation:

to calculate average speed we divide the total distance and the total time:

[tex]v=\frac{distance}{time}[/tex]

we need distance in kilometres, so we must convert 25.9 miles to kilometres:

since 1 mile = 1.61 kilometres

then 25.9 miles = 25.9(1.61km)

--> 25.9 miles = 41.7 km

We have the distance, now we need the time in hours.

The total time was  2 hours, 27 minutes, and 25 seconds, so:

2 hours = 2 hours

27 minutes = 27/60 hours = 0.45 hours

25 seconds = 25/60 minutes = 0.4166/60 hours = 0.00694 hours

we sum all this and we get:

time = 2hous + 0.45 hours + 0.00694 hours = 2.45694 hours

now we can calculate average velocity in km/h:

[tex]v=\frac{distance}{time}=\frac{41.7km}{2.45694 h} =16.97km/h[/tex]