Question

A person starts moving in the east direction from his initial position and moved $300$ m. Then, he take his left and moved $400$ m and stopped. Now, from the final position he has to go back to the initial position covering minimum distance.
What is the minimum distance to be covered while returning to the initial position?

• A. $300$ m
• B. $400$ m
• C. $700$ m
• D. $500$ m

Answer 1

The correct option is D $500$ m

We can see in the diagram that the shortest distance is the hypotaneous of triangle.



So, applying Pythagoras theorem, we can get the shortest distance between the initial position and the final position.

Shortest distance
$=\sqrt{(300{)}^2+(400{)}^2}$
$=\sqrt{90000+160000}$
$=\sqrt{250000}$
$=500$ m.
Hence, correct answer is $\left(d\right)$.