Question

'A' travelled Westwards $5$ km, turned left and traveled $3$ km, turned right and traveled $9$ km. He then traveled North $3$ km, How far was 'A' from the starting point now ?

• A. $3$ km
• B. $5$ km
• C. $10$ km
• D. $14$ km

Answer 1

The correct option is D $14$ km

Let us take positive X axis as South, negative x axis as North, positive Y axis as East and negative Y axis as West as given in above figure.

Let's take the intersecting point of two lines as starting point of 'A'.

'A' travel 5 km West from origin, then 3 km towards South, again 9 km towards West and then 3 km North.

Finally he arrives at Y axis, covering a distance 14 km towards West.

Y axis is in West from origin i.e. starting point.

Thus, he is 14 km far from the starting point.

Hence, option D is correct.