Question

Smith and Tina are two colleagues working in the same company. Smith starts walking from his house in north direction. After walking 120m, he reached pizza place. Then he turns and walks 40m in north-east direction. Then he turns 90 degree clock wise direction and walks 30m to reach Tina’s house which is in the east of the pizza place. Then from Tina’s house both of them walk 130m in south-east direction to reach their office which is east of Smith’s house.

Q. What is the shortest distance between Smith’s House and Office?

• A. 100m
• B. 75m
• C. 95m
• D. 125m
• E. None of these

Answer 1

The correct option is A 100m

From the given information the distance travelled can be plotted as

Shortest distance between pizza place and Tina’s House
$\sqrt{{40}^2+{30}^2}$
=50m
Let take point X, midpoint of Smith’s House and office. From figure we know distance between Smith House and X is 50m. Shortest distance between X and office
$=\sqrt{{13}^2+{12}^2}$
= 50m
Distance between Smith’s House and Office
50m + 50m
=100m