In what direction and with what speep must he push away his pack in order to return to his vehicle in 30s?

To determine the direction and speed required to return to the vehicle in 30 seconds, we need some additional information:

1. Current distance: What is the distance between the person and the vehicle?
2. Vehicle speed: How fast is the vehicle moving?

Once we have these details, we can calculate the necessary direction and speed.

Here's the step-by-step process to solve the problem:

Step 1: Determine the current distance between the person and the vehicle. Let's assume the current distance is "d" units (e.g., meters, feet, etc.).

Step 2: Calculate how far the person can move away from the vehicle in 30 seconds. This depends on the speed of the pack and the amount of time available. If we know the pack's speed, let's assume "v" speed units, we can calculate the maximum distance the pack can travel using the formula:

Distance = Speed × Time

In this case, the maximum distance the pack can move is 30 seconds × v speed units, which equals 30v.

Step 3: Determine the direction in which the person needs to push the pack to return to the vehicle. This will be the opposite direction of the person's current position relative to the vehicle.

Step 4: Calculate the speed required to return to the vehicle. This depends on the time available and the distance that needs to be covered. Let's assume the distance required to return to the vehicle is "d_return." We can calculate the necessary speed using the formula:

Speed = Distance / Time

In this case, the speed required to return to the vehicle is d_return / 30 seconds.

By following these steps and plugging in the appropriate values, we can determine the direction and speed the person needs to push the pack in order to return to the vehicle in 30 seconds.