Mr. E starts from Point A and drives 2 km towards the west. He then takes a left turn, drives 8 km, turns right and drives 3 km. He then takes a right turn and drives 9 km, turns right drives 7 km. He takes a final right turn, drives 1 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.)

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  1. 8 km towards the east
  2.  2 km towards the west
  3. 9 km towards the north
  4. 3 km towards the south 

Answer (Detailed Solution Below)

Option 2 :  2 km towards the west
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Detailed Solution

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Let's trace Mr. E's movements:

Starts at Point A, drives 2 km towards the West. (Current position: 2 km West of A)

Takes a left turn (South), drives 8 km. (Current position: 2 km West, 8 km South of A)

Turns right (West), drives 3 km. (Current position: 2 + 3 = 5 km West, 8 km South of A)

Takes a right turn (North), drives 9 km. (Current position: 5 km West, 9 - 8 = 1 km North of A)

Turns right (East), drives 7 km. (Current position: 7 - 5 = 2 km East, 1 km North of A)

Takes a final right turn (South), drives 1 km and stops at Point P. (Current position: 2 km East, 1 - 1 = 0 km North/South of A)

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So, Point P is 2 km East of Point A.

To reach Point A again from Point P, Mr. E needs to drive:

  • Distance: 2 km
  • Direction: West

So, he should drive 2 km towards West to reach Point A again.

Hence, the correct answer is "Option 2".

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