Question

A man walks $1$ Km to East and then he turns to South and walks $5$ Km. Again he turns to East and walks $2$ Km. After this, he turns to North and walks $9$ Km. Now, how far is he from his starting point?

• A. $3$ Km
• B. $4$ Km
• C. $5$ Km
• D. $7$ Km
• E. None of these

Answer 1

The correct option is C $5$ Km

Let us consider a Cartesian plane thinking positive X-axis as East;negative one as West;positive Y-axis as North;negative as South.Now A is at origin.It moves towards positive x axis $1$ Km;towards negative Y axis $5$Km;$2$ Km towards positive X axis;$9$ Km towards positive Y axis.On the whole it will traveled $9-5=4$ Km from origin vertically and $1+2=3$ Km from origin horizontally.By using Pythagoras theorem we get hypotenuse $5$ Km from the origin.