Question: Town D is 13 Km. towards the East of town A. A bus starts from town…
2023
Question: 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 [bus] travel to reach town D?
- A.
5 km towards north
- B.
5 km towards south
- C.
21 km towards north
- D.
10 km towards south
Attempted by 49 students.
Show answer & explanation
Correct answer: B
Solution: Place A at the origin (0,0). Let east be +x and north be +y.
Start at A (0,0). The bus travels 8 km west, so its position becomes (-8, 0).
It then takes a right turn (west → north) and goes 5 km to reach town B at (-8, 5).
From town B it takes another right turn (north → east) and travels 21 km, arriving at (-8 + 21, 5) = (13, 5).
Town D is 13 km east of A, so D is at (13, 0). The bus is at (13, 5).
Therefore the bus must travel 5 km south to go from (13, 5) to (13, 0).
Answer: 5 km towards south