rate,time and distance word problems

Question

Sonya left the restaurant traveling 6 mph. Then, 2 hours later, Hanna left traveling the same direction at 12 mph. How long until Hanna catches up with Sonya?

Answer 1

Let d = the distance Sonya traveled

Let d₁ = the distance Hanna traveled

Let t = Hanna's time

d = rate(time)    d = rt

d = 6(2) = 12 miles traveled by Sonya

12 = 12t

t = 1 hour