Question

A man travels 600 km partly by train and the rest by car. if he covers 400 km by train and rest by car, it takes him 6 hours and 30 minutes. but if he travels 200km by train and the rest by car he takes half an hour longer. find the speed of the train and that of the car.

Answer 1

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Answer 2

Answer:

Speed of train is 100 km/hr and Speed of Car is 160 km/hr.

Step-by-step explanation:

Let, x be the speed of train.

y be the speed of car.

According to the question,

400/x + 200/y = 6 + 30/60 ⇒ 400/x + 200/y = 13/2

200/x + 400/y = 7

put, 1/x = u and 1/y = v

we get,

400u + 200v = 13/2 ⇒ 800u + 400v = 13 ..................(1)

200u + 400v = 7 .......................(2)

Subtract (2) from (1),

800u - 200u = 13 - 7

600u = 6

u = 1/100

Substitute in (1),

800(1/100) + 400v = 13

8 + 400v = 13

400v = 13 - 8

400v = 5

v = 5/800

v = 1/160

Now, 1/x = u ⇒ 1/x = 1/100 ⇒ x = 100

         1/ y= v ⇒ 1/y = 1/160 ⇒ y = 160

Therefore, Speed of train is 100 km/hr and Speed of Car is 160 km/hr.