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Ravi starts from Point Y and drives 28 km towards West. He then takes a right turn, drives 55 kms, turns left, drives 69 km, turns left and drives 76 km. He then takes a left turn and drives 35 km.…

Question and options

Ravi starts from Point Y and drives 28 km towards West. He then takes a right turn, drives 55 kms, turns left, drives 69 km, turns left and drives 76 km. He then takes a left turn and drives 35 km. He takes a left turn, drives 21 km to stop at Point Z. How far (shortest distance) and towards which direction should he drive in order to reach Point Y again? (All turns are 90 degrees turns only unless specified)
  1. 64 km towards west
  2. 67 km towards west
  3. 62 km towards east
  4. 58 km towards east

Answer and explanation

Correct answer: C - 62 km towards east
Take Y=(0,0). West 28: (-28,0); right (north) 55: (-28,55); left (west) 69: (-97,55); left (south) 76: (-97,-21); left (east) 35: (-62,-21); left (north) 21: Z=(-62,0). Y is 62 km due east of Z.

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