Direction TestMTP Sep 24 Series IIQuestion 2328 of 165
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Maya starts at point T, walks straight to point U which is 4\displaystyle 4 ft. away. She turns left, at 90∘\displaystyle 90^\circ and walks to W which is 4\displaystyle 4 ft. away, turns 90∘\displaystyle 90^\circ right and goes 3\displaystyle 3 ft. to P, turns 90∘\displaystyle 90^\circ right and walks 1\displaystyle 1 ft. to Q, turns left at 90∘\displaystyle 90^\circ and goes to V, which is 1\displaystyle 1 ft. away and once again turns 90∘\displaystyle 90^\circ right and goes to R, 3\displaystyle 3 ft. away. What is the distance between T and R?

Options

A4\displaystyle 4 feet
B5\displaystyle 5 feet
C7\displaystyle 7 feet
D8\displaystyle 8 feet
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Correct Answer

✅ Option d — 8\displaystyle 8 feet

All Options:

  • A4\displaystyle 4 feet
  • B5\displaystyle 5 feet
  • C7\displaystyle 7 feet
  • D8\displaystyle 8 feet

Detailed Solution & Explanation

Let point T be at (0,0)\displaystyle (0,0) facing East:
- Walks 4 ft East to U   ⟹  U=(4,0)\displaystyle \implies U = (4, 0).
- Turns left (90∘\displaystyle 90^\circ North) and walks 4 ft to W   ⟹  W=(4,4)\displaystyle \implies W = (4, 4).
- Turns right (90∘\displaystyle 90^\circ East) and walks 3 ft to P   ⟹  P=(7,4)\displaystyle \implies P = (7, 4).
- Turns right (90∘\displaystyle 90^\circ South) and walks 1 ft to Q   ⟹  Q=(7,3)\displaystyle \implies Q = (7, 3).
- Turns left (90∘\displaystyle 90^\circ East) and walks 1 ft to V   ⟹  V=(8,3)\displaystyle \implies V = (8, 3).
- Turns right (90∘\displaystyle 90^\circ South) and walks 3 ft to R   ⟹  R=(8,0)\displaystyle \implies R = (8, 0).
The straight distance from T (0,0)\displaystyle (0,0) to R (8,0)\displaystyle (8, 0) is exactly 8 feet.
Hence, **Option D** is the correct answer.

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