It takes eight hours for a 600 km journey if 120 km is done by train and the rest by car. It takes 20 minutes more if 200 km is done by train and the rest by car. The ratio of the speed of the train to that of the car is:
A
3 : 2
B
4 : 3
C
2 : 3
D
3 : 4
Correct Option:
D
Explanation
Let the train speed be T and the car speed be C. The first journey gives 120/T + 480/C = 8. The second journey takes 20 minutes more, or 25/3 hours, so 200/T + 400/C = 25/3. Solving these equations gives T = 60 km/h and C = 80 km/h. Therefore, T:C = 60:80 = 3:4.
