Question

Your brother’s football game starts in 2.5 hours. The football game is in a city 195 miles away. In order for you to arrive in time for the start of the game, what does your average speed need to be?

Answer 1

Answer:

78 mph

Explanation:

Answer 2

Answer:

It needs to be 78 mi/h, equivalent to 34.9 m/s.

Explanation:

From its definition, the average speed is calculated dividing the total distance traveled by the interval of time that lasts the travel. It means that we can calculate your needed average speed using the equation:

$v_{avg}=\frac{s}{\Delta t}$

Where $v_{avg}$ is your average speed, $s$ is the distance between you and the city, and $\Delta t$ is the interval of time of the journey. Then, substituting the known values, we get:

$v_{avg}=\frac{195mi}{2.5h}\\\\v_{avg}=78mi/h=34.9m/s$

It means that your average speed needs to be 78 miles per hour, around 34.9 meters per second.