Posted by **Jonny** on Tuesday, November 8, 2011 at 8:42pm.

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 -
**Steve**, Wednesday, November 9, 2011 at 4:50am
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.

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