Two cars `A and B` are moving west to east and south to north, respectively, along crossroads. A moves with a speed of `20 m s^-1` and is `500 m` away from the point of intersection of cross roads and `B` moves with a speed of `15 ms^-1` and is `400 m` away from the point of intersection of cross roads. Find the shortest distance between them.

Explanation

To find the shortest distance between the two cars A and B moving along the crossroads, we can follow these steps:

### Step 1: Understand the positions of the cars
- Car A is moving from west to east with a speed of \(20 \, \text{m/s}\) and is \(500 \, \text{m}\) away from the intersection.
- Car B is moving from south to north with a speed of \(15 \, \text{m/s}\) and is \(400 \, \text{m}\) away from the intersection.

### Step 2: Determine the time taken for each car to reach the intersection
- For Car A:
...