German Driving Test Formulas

Set 1: Reaction Distance

Formula: Reaction Distance = (v / 10) \times 3 (v in km/h, distance in meters)
Tags: Driving Theory, Reaction Distance, Führerschein

Term: Calculate the reaction distance at 40 km/h.

Definition: (40 / 10) \times 3 = 4 \times 3 = 12 meters. This is the distance traveled during a 1-second reaction time.

Term: What is the reaction distance at 60 km/h?

Definition: (60 / 10) \times 3 = 6 \times 3 = 18 meters. Assumes standard reaction time, unaffected by weather.

Term: If speed is 100 km/h, find the reaction distance.

Definition: (100 / 10) \times 3 = 10 \times 3 = 30 meters. Increases linearly with speed.

Term: Reaction distance at 20 km/h?

Definition: (20 / 10) \times 3 = 2 \times 3 = 6 meters. Short distance at low speeds.

Term: At 80 km/h with doubled reaction time (e.g., distraction), approximate reaction distance.

Definition: Standard: (80 / 10) \times 3 = 24 m; doubled: 24 \times 2 = 48 meters. Adjusted for impairments.

1. You are driving on a narrow road. A child runs onto the roadway 12 m ahead. When is a collision unavoidable despite reaction time?
   A. At 40 km/h
   B. At 30 km/h
   C. At 20 km/h

Correct Answer: A
Explanation: At 40 km/h: (40 / 10) \times 3 = 12 m ( =12 m, unavoidable). At 30 km/h: (30 / 10) \times 3 = 9 m ( <12 m). At 20 km/h: 6 m ( <12 m).

2. You are on a residential street. A pedestrian appears 15 m ahead. When is a collision unavoidable?
   A. At 50 km/h
   B. At 40 km/h
   C. At 30 km/h

Correct Answer: A
Explanation: At 50 km/h: (50 / 10) \times 3 = 15 m ( =15 m, unavoidable). At 40 km/h: 12 m ( <15 m). At 30 km/h: 9 m ( <15 m).

3. You drive on a country road. A child darts out 18 m ahead. When is a collision unavoidable?
   A. At 60 km/h
   B. At 50 km/h
   C. At 40 km/h

Correct Answer: A
Explanation: At 60 km/h: (60 / 10) \times 3 = 18 m ( =18 m, unavoidable). At 50 km/h: 15 m ( <18 m). At 40 km/h: 12 m ( <18 m).

4. You are in a village. A person steps out 9 m ahead. When is a collision unavoidable?
   A. At 30 km/h
   B. At 25 km/h
   C. At 20 km/h

Correct Answer: A
Explanation: At 30 km/h: (30 / 10) \times 3 = 9 m ( =9 m, unavoidable). At 25 km/h: (25 / 10) \times 3 = 7.5 m ( <9 m). At 20 km/h: 6 m ( <9 m).

5. You drive on a quiet road. A child runs out 21 m ahead. When is a collision unavoidable?
   A. At 70 km/h
   B. At 60 km/h
   C. At 50 km/h

Correct Answer: A
Explanation: At 70 km/h: (70 / 10) \times 3 = 21 m ( =21 m, unavoidable). At 60 km/h: 18 m ( <21 m). At 50 km/h: 15 m ( <21 m).

6. You are on a suburban street. A pedestrian appears 24 m ahead. When is a collision unavoidable?
   A. At 80 km/h
   B. At 70 km/h
   C. At 60 km/h

Correct Answer: A
Explanation: At 80 km/h: (80 / 10) \times 3 = 24 m ( =24 m, unavoidable). At 70 km/h: 21 m ( <24 m). At 60 km/h: 18 m ( <24 m).

7. You drive on a rural road. A child appears 27 m ahead. When is a collision unavoidable?
   A. At 90 km/h
   B. At 80 km/h
   C. At 70 km/h

Correct Answer: A
Explanation: At 90 km/h: (90 / 10) \times 3 = 27 m ( =27 m, unavoidable). At 80 km/h: 24 m ( <27 m). At 70 km/h: 21 m ( <27 m).

8. You are in a town. A person runs out 6 m ahead. When is a collision unavoidable?
   A. At 20 km/h
   B. At 15 km/h
   C. At 10 km/h

Correct Answer: A
Explanation: At 20 km/h: (20 / 10) \times 3 = 6 m ( =6 m, unavoidable). At 15 km/h: (15 / 10) \times 3 = 4.5 m ( <6 m). At 10 km/h: 3 m ( <6 m).

9. You drive on a highway. A child appears 30 m ahead. When is a collision unavoidable?
   A. At 100 km/h
   B. At 90 km/h
   C. At 80 km/h

Correct Answer: A
Explanation: At 100 km/h: (100 / 10) \times 3 = 30 m ( =30 m, unavoidable). At 90 km/h: 27 m ( <30 m). At 80 km/h: 24 m ( <30 m).

10. You are on a narrow lane. A pedestrian steps out 33 m ahead. When is a collision unavoidable?
    A. At 110 km/h
    B. At 100 km/h
    C. At 90 km/h

Correct Answer: A
Explanation: At 110 km/h: (110 / 10) \times 3 = 33 m ( =33 m, unavoidable). At 100 km/h: 30 m ( <33 m). At 90 km/h: 27 m ( <33 m).

11. You drive on a country path. A child runs out 36 m ahead. When is a collision unavoidable?
    A. At 120 km/h
    B. At 110 km/h
    C. At 100 km/h

Correct Answer: A
Explanation: At 120 km/h: (120 / 10) \times 3 = 36 m ( =36 m, unavoidable). At 110 km/h: 33 m ( <36 m). At 100 km/h: 30 m ( <36 m).

12. You are in a village. A person appears 15 m ahead. When is a collision unavoidable?
    A. At 50 km/h
    B. At 40 km/h
    C. At 30 km/h

Correct Answer: A
Explanation: At 50 km/h: (50 / 10) \times 3 = 15 m ( =15 m, unavoidable). At 40 km/h: 12 m ( <15 m). At 30 km/h: 9 m ( <15 m).

13. You drive on a quiet road. A child runs out 18 m ahead. When is a collision unavoidable?
    A. At 60 km/h
    B. At 50 km/h
    C. At 40 km/h

Correct Answer: A
Explanation: At 60 km/h: (60 / 10) \times 3 = 18 m ( =18 m, unavoidable). At 50 km/h: 15 m ( <18 m). At 40 km/h: 12 m ( <18 m).

14. You are on a suburban street. A pedestrian appears 21 m ahead. When is a collision unavoidable?
    A. At 70 km/h
    B. At 60 km/h
    C. At 50 km/h

Correct Answer: A
Explanation: At 70 km/h: (70 / 10) \times 3 = 21 m ( =21 m, unavoidable). At 60 km/h: 18 m ( <21 m). At 50 km/h: 15 m ( <21 m).

15. You drive on a rural road. A child appears 24 m ahead. When is a collision unavoidable?
    A. At 80 km/h
    B. At 70 km/h
    C. At 60 km/h

Correct Answer: A
Explanation: At 80 km/h: (80 / 10) \times 3 = 24 m ( =24 m, unavoidable). At 70 km/h: 21 m ( <24 m). At 60 km/h: 18 m ( <24 m).

16. You are in a town. A person runs out 9 m ahead. When is a collision unavoidable?
    A. At 30 km/h
    B. At 25 km/h
    C. At 20 km/h

Correct Answer: A
Explanation: At 30 km/h: (30 / 10) \times 3 = 9 m ( =9 m, unavoidable). At 25 km/h: 7.5 m ( <9 m). At 20 km/h: 6 m ( <9 m).

17. You drive on a highway. A child appears 27 m ahead. When is a collision unavoidable?
    A. At 90 km/h
    B. At 80 km/h
    C. At 70 km/h

Correct Answer: A
Explanation: At 90 km/h: (90 / 10) \times 3 = 27 m ( =27 m, unavoidable). At 80 km/h: 24 m ( <27 m). At 70 km/h: 21 m ( <27 m).

18. You are on a narrow lane. A pedestrian steps out 6 m ahead. When is a collision unavoidable?
    A. At 20 km/h
    B. At 15 km/h
    C. At 10 km/h

Correct Answer: A
Explanation: At 20 km/h: (20 / 10) \times 3 = 6 m ( =6 m, unavoidable). At 15 km/h: 4.5 m ( <6 m). At 10 km/h: 3 m ( <6 m).

19. You drive on a country path. A child runs out 30 m ahead. When is a collision unavoidable?
    A. At 100 km/h
    B. At 90 km/h
    C. At 80 km/h

Correct Answer: A
Explanation: At 100 km/h: (100 / 10) \times 3 = 30 m ( =30 m, unavoidable). At 90 km/h: 27 m ( <30 m). At 80 km/h: 24 m ( <30 m).

20. You are in a village. A person appears 33 m ahead. When is a collision unavoidable?
    A. At 110 km/h
    B. At 100 km/h
    C. At 90 km/h

Correct Answer: A
Explanation: At 110 km/h: (110 / 10) \times 3 = 33 m ( =33 m, unavoidable). At 100 km/h: 30 m ( <33 m). At 90 km/h: 27 m ( <33 m).

Set 2: Normal Braking Distance (Dry)

•

Formula: Braking Distance = (v / 10)^2 (dry roads, normal deceleration)
Tags: Driving Theory, Braking Distance, Führerschein

•

Term: Calculate normal dry braking distance at 50 km/h.

Definition: (50 / 10)^2 = 5^2 = 25 meters. Quadratic, so higher speeds increase distance rapidly.

Term: What is the braking distance at 70 km/h on dry roads?

Definition: (70 / 10)^2 = 7^2 = 49 meters. Assumes good tires and road conditions.

Term: Braking distance at 30 km/h (dry, normal).

Definition: (30 / 10)^2 = 3^2 = 9 meters. Short at low speeds.

Term: At 90 km/h, find normal dry braking distance.

Definition: (90 / 10)^2 = 9^2 = 81 meters. Add reaction distance for total stopping distance.

Term: If wet (double distance), braking at 60 km/h.

Definition: Dry: (60 / 10)^2 = 36 m; wet: 36 \times 2 = 72 meters. Variation for slippery conditions.

1. You are driving on a dry road. A child is 25 m ahead. When is a collision unavoidable despite braking?
   A. At 50 km/h
   B. At 40 km/h
   C. At 30 km/h

Correct Answer: A
Explanation: At 50 km/h: (50 / 10)^2 = 25 m ( =25 m, unavoidable). At 40 km/h: (40 / 10)^2 = 16 m ( <25 m). At 30 km/h: 9 m ( <25 m).

2. You are on a residential street. A pedestrian is 36 m ahead. When is a collision unavoidable?
   A. At 60 km/h
   B. At 50 km/h
   C. At 40 km/h

Correct Answer: A
Explanation: At 60 km/h: (60 / 10)^2 = 36 m ( =36 m, unavoidable). At 50 km/h: 25 m ( <36 m). At 40 km/h: 16 m ( <36 m).

3. You drive on a country road. A child is 49 m ahead. When is a collision unavoidable?
   A. At 70 km/h
   B. At 60 km/h
   C. At 50 km/h

Correct Answer: A
Explanation: At 70 km/h: (70 / 10)^2 = 49 m ( =49 m, unavoidable). At 60 km/h: 36 m ( <49 m). At 50 km/h: 25 m ( <49 m).

4. You are in a village. A person is 16 m ahead. When is a collision unavoidable?
   A. At 40 km/h
   B. At 30 km/h
   C. At 20 km/h

Correct Answer: A
Explanation: At 40 km/h: (40 / 10)^2 = 16 m ( =16 m, unavoidable). At 30 km/h: 9 m ( <16 m). At 20 km/h: 4 m ( <16 m).

5. You drive on a quiet road. A child is 64 m ahead. When is a collision unavoidable?
   A. At 80 km/h
   B. At 70 km/h
   C. At 60 km/h

Correct Answer: A
Explanation: At 80 km/h: (80 / 10)^2 = 64 m ( =64 m, unavoidable). At 70 km/h: 49 m ( <64 m). At 60 km/h: 36 m ( <64 m).

6. You are on a suburban street. A pedestrian is 81 m ahead. When is a collision unavoidable?
   A. At 90 km/h
   B. At 80 km/h
   C. At 70 km/h

Correct Answer: A
Explanation: At 90 km/h: (90 / 10)^2 = 81 m ( =81 m, unavoidable). At 80 km/h: 64 m ( <81 m). At 70 km/h: 49 m ( <81 m).

7. You drive on a rural road. A child is 100 m ahead. When is a collision unavoidable?
   A. At 100 km/h
   B. At 90 km/h
   C. At 80 km/h

Correct Answer: A
Explanation: At 100 km/h: (100 / 10)^2 = 100 m ( =100 m, unavoidable). At 90 km/h: 81 m ( <100 m). At 80 km/h: 64 m ( <100 m).

8. You are in a town. A person is 9 m ahead. When is a collision unavoidable?
   A. At 30 km/h
   B. At 25 km/h
   C. At 20 km/h

Correct Answer: A
Explanation: At 30 km/h: (30 / 10)^2 = 9 m ( =9 m, unavoidable). At 25 km/h: (25 / 10)^2 = 6.25 m ( <9 m). At 20 km/h: 4 m ( <9 m).