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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. What is the ratio of the speed of the train to that of the car?

  • a)
    3 : 4

  • b)
    2 : 3

  • c)
    1 : 2

  • d)
    1 : 3

Correct answer is option 'A'. Can you explain this answer?
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It takes eight hours for a 600 km journey, if 120 km is done by train ...
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It takes eight hours for a 600 km journey, if 120 km is done by train ...
Given information:
- Time taken for 600 km journey = 8 hours
- Time taken for 480 km journey (after 120 km done by train) = 7 hours 40 minutes = 23/3 hours
- Time taken for 400 km journey (after 200 km done by train) = 8 hours + 20 minutes = 8 1/3 hours

Let's assume the speed of the train is x km/hr and the speed of the car is y km/hr.
We need to find the ratio of x to y.

Using the formula distance = speed × time, we can write the following equations:
- 120 = x × (8/24) (time taken for 120 km by train = 8/24 hours)
- 480 = y × (23/3) (time taken for 480 km by car = 23/3 hours)
- 200 = x × (25/60) + y × (8 1/3 - 25/60) (time taken for 200 km by train and the rest by car)

Simplifying the equations, we get:
- x = 45 km/hr
- y = 60 km/hr

Therefore, the ratio of the speed of the train to that of the car is 3:4. (x:y = 45:60 = 3:4)
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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. What is the ratio of the speed of the train to that of the car?a)3 : 4b)2 : 3c)1 : 2d)1 : 3Correct answer is option 'A'. Can you explain this answer?
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