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Pratap starts from Point A and drives 16 km towards south. He then takes a right turn, drives 13 km, turns right and drives 18 km. He then takes a right turn and drives 18 km. He takes a final right turn, drives 2 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.)
7 km to the west
5 km to the west
3 km to the west
6 km to the west
5 km to the west
Track net vertical and horizontal movements using a Cartesian coordinate system. Net North-South = 16 (South) + 18 (South) - 18 (North) = 16 km South. Wait, let's verify exact coordinates: A=(0,0). South 16 тЖТ (0, -16). Right (West)тВБтВГ тЖТ (-13, -16). Right (North)тВБтВИ тЖТ (-13, +2). Right (East)тВБтВИ тЖТ (+5, +2). Right (South)тВВ тЖТ (+5, 0) at Point P. To return to A(0,0) from P(+5,0), he must go 5 km to the West.
Track net vertical and horizontal movements using a Cartesian coordinate system. Net North-South = 16 (South) + 18 (South) - 18 (North) = 16 km South. Wait, let's verify exact coordinates: A=(0,0). South 16 тЖТ (0, -16). Right (West)тВБтВГ тЖТ (-13, -16). Right (North)тВБтВИ тЖТ (-13, +2). Right (East)тВБтВИ тЖТ (+5, +2). Right (South)тВВ тЖТ (+5, 0) at Point P. To return to A(0,0) from P(+5,0), he must go 5 km to the West.
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