Time = Distance / speed
Let X = number of hours.
Car 1 is driving 30 miles per hour for X hours, so you have 30x.
Car 2 is driving 40 miles per hour for x hours, so you have 40x.
30x +40x = 70x
70x = 350 miles
x = 350 / 70
x = 5
They will meet in 5 hours