# Algebra

posted by .

A car started out from Memphis toward Little Rock at the rate of 60km/h. A second car left from the same point 2 hours later and drove along the same route at 75km/h. How long did take the second car to overtake the first car.

• Algebra -

The distance traveled by car A and car B is the same

distance = speed * time

car B traveled 2 hours less than car A. At time t

60t = 75(t-2)
60t = 75t - 150
15t = 150
t = 10

so, in 10 hours, car A traveled 600 km
in 8 hours, car B also traveled 600 km

The answer is, it took car B 8 hours to overtake car A.

## Similar Questions

1. ### algebra.

Tim started out traveling at 60 km/h. Two hours later, Mike left from the same point. He drove along the rode at 80 km/h. How many hours does Mike have to drive to catch up with Tim?
2. ### math

The distance an automobile can travel in h hours at an average rate of 50 miles an hour is found y the formula d=50h. Problem: A car was driven for 3 hours. The driver then stopped 3/4 of an hour for lunch. After lunch he drove for …
3. ### math

The distance an automobile can travel in h hours at an average rate of 50 miles an hour is found y the formula d=50h. Problem: A car was driven for 3 hours. The driver then stopped 3/4 of an hour for lunch. After lunch he drove for …
4. ### Physics

A car starts from rest and accelerates unifomly at 3m/s^2. A second car starts from rest 6 seconds later at the same point and accelerates uniformly at 5m/s^2. How long does it take the second car to over take the first car?
5. ### Algebra

A carload of fraternity brothers leaves their house for a long weekend road trip. Two hours later a second carload of brothers leaves the same house and travels the same path. If the second car drives an average of 15 mph faster than …
6. ### Physics

1. A car starts from rest and accelerates uniformly at 3.0 m/s2. A second car starts from rest 6.0 s later at the same point and accelerates uniformly at 5.0 m/s2. How long does it take the second car to overtake the first car?
7. ### math

a carload of fraternity brothers leave their house for a long weekend trip. three hours later a second carload of brothers leaves the same house and travels the same path. if the second care drives and average of 15 mph faster than …
8. ### math

A car going 60 miles per hour set out on a 400-mile trip at 12:00 P.M. Exactly 20 minutes later, a second car left from the same place and followed the same route. How fast, in miles per hour, was the second car going if it caught …
9. ### Algebra

I don't understand how to find the equation to solve this. A family drove two cars to a reunion. The first car traveled at 50 mph. The second car left 1 hour later and traveled at 65 mph. How long will it take for the second car to …
10. ### Physics

Two cars AandB travel along the same road in the Sam direction from the Same starting place.Car A maintains speed of 50km/h and car B 60km/h,but starts one hour later. how many hours will take for B to overtake A?

More Similar Questions