You and your college roommate travel to your respective hometowns in the same amount of time. You drive $230$ miles and your friend drives $210$ miles. Your friend s average speed is 6 miles per hour lower than your average speed. What is your average speed?
A) $75$ miles per hour
B) $73$ miles per hour
C) $69$ miles per hour
D) $66$ miles per hour
E) $67$ miles per hour

Question

Quizplus · Accepted Answer

Let your average speed be $x$ mph. Then your friend's speed is $x - 6$ mph. Since time is distance divided by speed and both times are equal, $\frac{230}{x} = \frac{210}{x - 6}$. Solving this equation gives $x = 69$ mph.

You and Your College Roommate Travel to Your Respective Hometowns 230230230

You and Your College Roommate Travel to Your Respective Hometowns $230$