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

Explanation

Let the speed of a train =x {km} / {hr}

And the speed of a car =y {km} / {hr}

Total distance travelled =600 {km}

According to the question, If he covers 400 {km} by train and rest by car i.e.
(600-400)

=200 {km}

Time taken =6 {hrs} 30 {min}=6+frac{30}{60}=6.5 {hrs}

If he travels 200 {km} by train and rest by car i.e. (600-200
)
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