A man travels 370 km partly by train and partly by car. If he covers 250 km by train and the rest by car, it takes him 30 km by train and the rest by car, he takes 18 minutes longer. Find the speed of the train and that of the car.

Explanation

To solve the problem, we need to find the speeds of the train (let's denote it as \( x \) km/h) and the car (denote it as \( y \) km/h). We will set up equations based on the information provided in the question.

### Step 1: Set up the equations based on the first scenario
The man travels a total distance of 370 km. In the first scenario, he travels 250 km by train and the remaining distance by car.

- Distance by car = \( 370 - 250 = 120 \) km
- Time taken for the journey = 4 hours

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