Multiple choice

After starting from his house, Naren walked a few meters towards the east. From there, he took a right turn and walked 80 m, and then took a left turn and walked 20 m. Finally, he took a right turn again and walked 40 m to reach the hospital. If the hypotenuse distance between his house and the hospital is 130 m, how far did Naren walk towards the east initially?

  1. 50 m

  2. 25 m

  3. 40 m

  4. 30 m
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let initial eastward distance be x. After first right (south): 80m, then left (east): 20m, then right (south): 40m. Net displacement: east = x+20, south = 120. Using Pythagorean theorem: sqrt((x+20)^2 + 120^2) = 130. Squaring: (x+20)^2 + 14400 = 16900, so (x+20)^2 = 2500, x+20 = 50, x = 30m.

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