Four right-angle legs around a rectangle: Driver: North 20 km (breakfast) → Left 30 km (lunch) → Left 20 km (tea) → Left 30 km (to town). After evening tea, in which direction did he drive?

Difficulty: Easy

Correct Answer: East

Explanation:

Introduction / Context:The itinerary forms a rectangle. We are asked the direction of the leg immediately after the “evening tea” stop (i.e., the third stop).

Given Data / Assumptions:

  • Leg 1: North 20 (breakfast).
  • Leg 2: Left ⇒ West 30 (lunch).
  • Leg 3: Left ⇒ South 20 (evening tea).
  • Leg 4: Left from South ⇒ East 30 (to town).

Concept / Approach:Left from South is East. The question references the leg after the evening tea stop, i.e., Leg 4.

Step-by-Step Solution:

Facing South at the tea stop → turn left → face East → drive 30 km.

Verification / Alternative check:Opposite and adjacent legs of a rectangle match in length; the final leg mirrors the second.

Why Other Options Are Wrong:

  • North/West/South are inconsistent with a left turn from South.

Common Pitfalls:Answering with the direction “to tea” (South) rather than “after tea” (East).

Final Answer:East

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