Town D is 13 Km. towards the East of town A. A bus starts from town A travels…
2025
Town D is 13 Km. towards the East of town A. A bus starts from town A travels 8 Km. towards West and takes a right turn. After taking the right turn, it travels 5 Km. and reaches town B. From town B the bus takes a right turn again, travels 21 Km. and stops. How far and towards which direction must the travel to reach town D?
- A.
13 km towards South
- B.
5 km towards North
- C.
3 km towards South
- D.
5 km towards South
Attempted by 37 students.
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Correct answer: D
Answer: 5 km towards South
Reasoning:
Place Town A at coordinates (0, 0). Town D is 13 km east of A, so Town D is at (13, 0).
The bus travels 8 km west from A to reach (-8, 0).
It then takes a right turn (from west → right = north) and goes 5 km to reach B at (-8, 5).
From B it takes another right turn (from north → right = east) and travels 21 km to reach the final point at (-8 + 21, 5) = (13, 5).
Compare the final point (13, 5) with Town D (13, 0): they share the same east‑west coordinate, and the final point is 5 km north of Town D.
Therefore, to reach Town D from the bus's final position you must travel 5 km towards South.