Keshav starts from Point A and drives 22 km towards the South. He then takes a left
turn, drives 24 km, turns left and drives 27 km. He then takes a left turn and drives 25
km. He takes a final left turn, drives 5 km and stops at Point P. How far (shortest
distance) and towards which direction should he drive in order to reach Point A again?
(All turns are 90 degrees turns only unless specified)
-
A.
3 km to the east
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B.
2 km to the east
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C.
1 km to the east
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D.
4 km to the east
Correct Answer:
C. 1 km to the east
Explanation:
The correct answer is Option C: 1 km to the east.
To find the solution, we can track Keshav's movements on a coordinate plane, starting Point A at (0, 0):1. Drive 22 km South: (0, -22)
2. Turn left (East) and drive 24 km: (24, -22)
3. Turn left (North) and drive 27 km: (24, 5)
4. Turn left (West) and drive 25 km: (-1, 5)
5. Final left turn (South) and drive 5 km to Point P: (-1, 0)Point P is located at (-1, 0), which is 1 km West of the starting Point A (0, 0). Therefore, to return to Point A from Point P, Keshav must drive 1 km in the East direction.
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