Ann leaves a town traveling in her car at a rate of 20 miles per hour. One hour later, Pamela leaves the same town traveling the same route at a rate of 30 miles per hour. How long will it take Pamela to overtake Ann?
A) 30 hours
B) 22 hours
C) 32 hours
D) 2 hours

Question

Quizplus · Accepted Answer

Since Ann leaves one hour before Pamela and has a speed of 20 miles per hour, she will be 20 miles ahead of Pamela when Pamela starts.

Let's say it takes Pamela "t" hours to overtake Ann. In that time, Ann will have traveled for "t+1" hours.
Distance traveled by Pamela = Distance traveled by Ann when they meet.
30t = 20(t+1)
30t = 20t + 20
10t = 20
t = 2

Therefore, Pamela will overtake Ann in 2 hours.

Ann Leaves a Town Traveling in Her Car at a Rate