Town D is 13 Km. towards the East of town A. A bus starts from town A travels…
2023
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?
Answer: B. 5km towards south — Answer: 5 km towards south Place town A at the origin (0,0). Town D is 13 km to the east, so D is at (13,0). The bus starts at A (0,0) and travels 8 km west…
- A.
5km towards north
- B.
5km towards south
- C.
21 km towards north
- D.
10 km towards south
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Correct answer: B
Answer: 5 km towards south
Place town A at the origin (0,0). Town D is 13 km to the east, so D is at (13,0).
The bus starts at A (0,0) and travels 8 km west to reach (-8,0).
It takes a right turn from west, which is north, and goes 5 km to reach town B at (-8,5).
From town B it turns right again (from north → east) and travels 21 km to arrive at (-8+21, 5) = (13,5).
Compare the final position (13,5) with town D at (13,0): they have the same east coordinate, and the final position is 5 km north of town D.
Therefore the bus must travel 5 km towards the south to reach town D.