Point A and B are 90 km apart from each other on a highway. A car starts from A and another from B at the same time. If they go in the same direction they meet and if they go in opposite directions they meet in 9/7 hours. Find their speeds.

Explanation

To solve the problem, we need to find the speeds of two cars starting from points A and B, which are 90 km apart. We'll denote the speed of the car starting from A as \( V_A \) and the speed of the car starting from B as \( V_B \).

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

1. **Same Direction**: When both cars travel in the same direction, they meet after 9 hours.
- The distance covered by both cars when they meet is 90 km.
- The relative speed when they are moving in the same direction is \( V_A - V_B \).
- Using the formula:
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