Answer:
They travel for 3.4 hours before they meet.
Explanation:
Given that: 
Distance between the cities = 374 miles 
Speed of Car 1 = 50 mph 
Speed of Car 2 = 60 mph 
As the cars are moving towards each other,
Combined speed = 50 + 60 = 110 mph 
We know that:
Distance = Speed * Time 
374 = 110 * Time 
Time = 

Time = 3.4 hours 
Hence, 
They travel for 3.4 hours before they meet.