Kapil starts from point A and drives 9 km towards west. He then takes a right turn, drives 1 km, turns right and drives 5 km. He then takes a left turn and drives 3 km. He then takes a left turn and drive 5 km. He then takes a right turn and drives 8 km. He takes a final right turn, drives 9 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° turns only unless specified)?

Question

Kapil starts from point A and drives 9 km towards west. He then takes a right turn, drives 1 km, turns right and drives 5 km. He then takes a left turn and drives 3 km. He then takes a left turn and drive 5 km. He then takes a right turn and drives 8 km. He takes a final right turn, drives 9 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&deg; turns only unless specified)?

Apedia · Accepted Answer

Correct Answer: 12 km south.

Explanation: Coordinate Mapping Method: We assign the starting Point A as the (0,0) coordinate. Let North be +Y, South be -Y, East be +X, West be -X.Step-by-Step Execution: 1) 9km West: (-9, 0). 2) Right turn (North) for 1km: (-9, 1). 3) Right turn (East) for 5km...

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