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A person walks east from point B. After walking 4 km in the same direction, he takes a right turn and walks 3 km to reach point C. From there, he takes a left turn and walks 4 km, then takes a right turn and walks 4 km to reach point D. Then, he turns left and walks 4 km to reach point E. Finally, he walks north for 7 km to reach point P. Another person walks west from point A for 5 km. Then, she turns right and walks 4 km. Then, she turns right again and walks 5 km, then takes a left turn. After walking 3 km in the same direction, she takes a left turn again and walks 5 km to reach point Q. From there, she walks 7 km west to reach point P. How far and in which direction is point Q with respect to point B?
- 19km, West
- 17km, West
- 19km, East
- 17km, East
Correct answer: 19km, East
Solution
By taking point B as reference and converting each move into coordinate shifts, point Q ends up 19 km to the east of point B. The north-south components cancel out for the asked relation, leaving only the horizontal distance.
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