Question

You are leaving for a party at your cousin’s house in a city that is 150 km away. You will travel at an average rate of 50 km/hr. If you need to be at the party in 2.5 hours, how fast would you need to drive to get there?

Answer 1

you would need to go 60 km/hr 150/60=2.5 so you would get to the party right on time.

Answer 2

If you travel at a constant rate, the equation which describes your traveling is

$s = vt$

where s is the space traveled, v the velocity you're traveling at, and t is the time passed traveling.

You know the distance and the time, so let's solve the equation for speed:

$s = vt \implies v = \dfrac{s}{t}$

So, if you plug the values, you have

$\dfrac{150}{2.5} = 60$

So, you need to travel at an average speed of 60km/hr to be at the party in 2.5 hours. If you travel at an average speed of 50km/hr, you'll be there in three hours