Here Is The Problem.
Julia drove from her home to her aunt's house in 3 hours and 30 minutes. The distance between the houses is 175 miles. Knowing that distance = rate X time, find that car's average speed.
Answer
d = 175 mph
t = 3 1/2, then 175 mph = r X 3 1/2 hr. Solving for rate(r), we get r = 50 mph.
This was an example. I am looking for an explanation of how this is true.
Best Answer
Do you understand the equation d = r * t?
Solving for rate, we get r = d / t
Do you understand that we are trying to get a measure of how much distance we traveled per some unit of time?
If I travel a distance of 100 miles and I drove for 2 hours, what rate must I have I been traveling?
r = 100 mph / 2 hours = 50 miles/hour (mph).
Is this easier to follow than your example?
Work it the other way.
What if I say, I drive 50 mph and I drive for two hours.
What distance did I travel?
d = r * t = (50 m/h) * ( 2 h) = 100 miles.
Does that help?