Question

OR
Krishna travels 600 kms partly by train and
partly by car. if he covers 400 km by train
and the remaining distance by car he takes
6 hours and 30 min. But if he travels 200
km by train and remaining by car he takes
half an hour longer. Find the speed of the
train and that of the car.​

Answer 1

Answer:

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

It is given that he travels 400 km partly by train and the rest i.e. (600-400) = 200 km by car

To travels this distance he takes 6 hours 30 minutes which is equal to

Also it is given that he travels 200 km by train and the rest i.e. (600-200) = 400 km by car and the time taken is half an hour longer i.e.

Distance = Speed × Time

Now,

 → equation 1

 → equation 2

Multiplying Equation 2 with 2 we get

 → equation 3

Subtracting [Equation 3] from [Equation 2] we get,

Now substituting the value of y in [Equation 2] we get

Thus the speed of the train is 100 km/hr and speed of the car is 80 km/hr.

3.9

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Answer 2

Answer:

20 sec and 60 minutes taken by car and train