Solve.
-On a road trip, five friends drove at 50 miles per hour to California. On the way home, they took the same route but drove 75 miles per hour. How many miles did they drive on the way to California if the round trip took 10 hours?
A) 1500 mi
B) 600 mi
C) 6 mi
D) 300 mi

Question

Quizplus · Accepted Answer

The total distance for the round trip is the sum of the distance to California and the distance back. Let $ x $ be the distance to California. The time to California is $ \frac{x}{50} $ hours, and the time back is $ \frac{x}{75} $ hours. The total time is $ \frac{x}{50} + \frac{x}{75} = 10 $ hours. To find $ x $, solve the equation: $ \frac{x}{50} + \frac{x}{75} = 10 $. Finding a common denominator (150) and solving for $ x $ gives $ x = 300 $ miles.

Solve. -On a Road Trip, Five Friends Drove at 50 Miles