Question

Mohit walks 10 kilometres towards North. From there, he walks 6 kilometres towards South. Then he walks 3 kilometres towards East. How far and in which direction is he with reference to his starting point?

• A. $5$ kilometres West
• B. $5$ kilometres North-East
• C. $7$ kilometres East
• D. $7$ kilometres West

Answer 1

The correct option is B $5$ kilometres North-East

Clearly, Mohit moves from A 10 Km northwards upto B, then moves 6 Km southwards upto C, turns towards east and moves 3 km upto D.
Then $AC=(AB-BC)=4$ km
So Mohit distance from starting point A
$\begin{array}{c}AD=\sqrt{A{C}^2+C{D}^2}\\ =\sqrt{4^2+3^2}\\ =\sqrt{25}=5\end{array}$
So AD is $5$ Km also with reference to starting point Mohit's direction is North-East.