Time Distance

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 cars is:

  1. 2 : 3
  2. 3 : 4
  3. 4 : 3
  4. 3 : 2

Answer

Let the speed of the train be x km/hr and that of the car be y km/hr.

It takes eight hours for a 600 km journey, if 120 km is done by train and the rest by car.

120/x + 480/y = 8 or 1/x + 4/y = 1/15

If 200 km is done by train and the rest by car, then 20 minutes more time is taken.

200/x + 400/y = 25/3 or 1/x + 2/y  = 1/24

Solving both the equations,

x = 60 and y = 80

Ratio is 3:4

The correct option is B.