Bernice left home, driving her car at a rate of 60 miles per hour. Carla left 2 hours later, driving at a rate of 75 miles per hour. How long will it take Carla to catch up to Bernice?

8 hours

Explanation:

75t = 60 (t+2)

75t = 60t + 120

75t - 60t = 120

15t = 120

t = 8 hrs

t = 8 hrs

Explanation:

Let t = time on the road when carla catches up with bernice

Then (t+2) = time bernice is on the road, when carla catches up

:

We know that when carla catches bernice, they would have cover the same distance.

by using distance formula

Distance = speed * time

:

carla's dist = bernice's distance

75t = 60 (t+2)

75t = 60t + 120

75t - 60t = 120

15t = 120

t = 8 hrs