places A and B are 80 km apart from each other on a highway. A car starts from A and other from B at the same time. If they move in the same direction, they meet in 8 hours and if they move in opposite directions, they meet in 1 hour and 20 minutes. Find the speed of the cars.

Explanation

To solve the problem, we need to find the speeds of two cars starting from points A and B, which are 80 km apart. Let's denote the speed of the car starting from A as \( x \) km/h and the speed of the car starting from B as \( y \) km/h.

### Step 1: Set up the equations based on the given information.

1. **Same Direction:** When the cars move in the same direction, they meet after 8 hours. The distance covered by both cars when they meet can be expressed as:
\[ \text{Distance covered by A} = 8x \]
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