confuse right now

Question

A car leaves Beloit, heading east at 50 mph. One hour later, a second car leaves Beloit, heading east at 65 mph. How long will it take for the second car to overtake the first car?

Answer 1

Let x = time driven by the second car needed to catch up to the first car

Distance = (Rate)(Time)

The second car catches up to the first when the distances are equal

So, 50(x + 1) = 65x

50x + 50 = 65x

15x = 50

x = 3 1/3 hr