Question 248707
Let T be the number of hours past noon the two cars meet.

We know that the first car travels 40*T (D=R*T) miles when the two cars meet.
The second car will have traveled 60*(T-2) hours when the two cars meet.

The total distance traveled by both cars will be 380 miles so:

40*T + 60*(T-2) = 380
100*T - 120 = 380
100*T = 500
T = 5
Time they meet is 5:00p.