Half an hour after Car A started traveling from Newtown to Oldtown, a

Using Fractions
First case:-

Car A started first and travelled for half an hour.

Distance travelled by car A = 0.5A (A and B are the speeds of the respective cars)

Second case:-
Next They travel for 15 min and meet each other on the road.

During this time

Distance travelled by car A = 0.25 A
Distance travelled by car B = 0.25B


Now summing all the distances wee should get 62 miles

So 0.25A + 0.25B + 0.5A = 62

But A = B+8

So we will get A as 64 and B as 56. So distance travelled by car B = 56 *0.25 = 14

In Minutes.

First case:- Distance travelled by car A = 30 * A (A is in miles per minute)

Second Case

Distance travelled by A = 15*A
Distance travelled by B = 15*B

So total distance travelled = 62 = 15*A + 15*B + 30*A
=> 62 = 45A + 15B
= 15(3A + B)

But A = B + 8/60(miles/minute)

So 62 = 15(4B + 2/5)

=> 62 = 6 + 4(15B)

=> 15B = 14.

Now distance travelled by Car B = 15 * B

So answer is 14