2019 · Q84
It takes 11 hours for a 600 km journey if 120 km is done by train and the rest by car. It takes 40 minutes more if 200 km are covered by train and the rest by car. What is the ratio of the speed of the car to that of the train?
Elementary MathematicsTime, Speed and Distance
- A3:2
- B2:3
- C3:4
- D4:3
Explanation
Let u = 1/train speed, v = 1/car speed. 120u+480v = 11 and 200u+400v = 35/3 give u-v = 1/120, whence v = 1/60, u = 1/40. Car:train = 60:40 = 3:2.