A started from his house and walked 20 m towards East

Directions

A started from his house and walked 20 m towards East, where his friend B joined him. They together walked 10 m in the same direction. Then A turned left while B turned right and travelled 2 m and 8 m respectively. Again B turned left to travel 4 m followed by 5 m to his right to reach his office. A turned right and travelled 12 m to reach his office. What is the shortest distance between the two offices?

  1. 15 m
  2. 17 m
  3. 19 m
  4. 20 m

Answer

According to the question, walking directions of A and B are:

PR = 2 + 8 + 5 = 15

PQ = 12 - 4 = 8

QR2 = PR2 + PQ2

QR2 = 225 + 64 = 289

QR = 17

The correct option is B.