Question

In a morning, Vivek started running from his home towards the Sun. He runs for 300 m, then again 300 m towards his right. Further runs 100 m towards his left to reach a Gym. His office is 800 m East of his home. What is the shortest distance and in which direction is his office from the Gym ?

• A. $700 \text{ m, North}$
• B. $500 \text{ m, North-East}$
• C. $300 \text{ m, North-West}$
• D. $700 \text{ m, South}$

Hint:

Remember the standard Pythagorean triplet $(3, 4, 5)$.
Here, the horizontal separation is $400 \text{ m}$ and the vertical separation is $300 \text{ m}$.
The hypotenuse must be $500 \text{ m}$, saving you the time of calculating square roots.

Answer 1

The Correct Option is B