Sunil drives from point A towards the west. He then takes a left turn and drives . He again takes a left turn and drives . He then takes a left turn and drives . He finally takes a right turn and drives to arrive at point B. How much and in which direction does he have to drive to return to point A? (All the turns are turns only.)
- Atowards the west
- Btowards the east
- Ctowards the east
- Dtowards the west
Solution & Step-by-step Explanation
Let us trace Sunil's path step-by-step by considering point A as the starting reference origin :
1. Starts at point A:
2. **Drives West:** New position is .
3. **Takes a left turn and drives :** Facing West, a left turn leads towards the South direction. New position is .
4. **Takes a left turn and drives :** Facing South, a left turn leads towards the East direction. New position becomes:
5. **Takes a left turn and drives :** Facing East, a left turn leads towards the North direction. New position becomes:
6. **Takes a right turn and drives to arrive at point B:** Facing North, a right turn leads towards the East direction. The final position of point B is:
Now, point B is located at , which is exactly to the East of point A .
To return to point A from point B, Sunil must travel a distance of in the opposite direction (towards the West).
Thus, he has to drive ** towards the west**.
1. Starts at point A:
2. **Drives West:** New position is .
3. **Takes a left turn and drives :** Facing West, a left turn leads towards the South direction. New position is .
4. **Takes a left turn and drives :** Facing South, a left turn leads towards the East direction. New position becomes:
5. **Takes a left turn and drives :** Facing East, a left turn leads towards the North direction. New position becomes:
6. **Takes a right turn and drives to arrive at point B:** Facing North, a right turn leads towards the East direction. The final position of point B is:
Now, point B is located at , which is exactly to the East of point A .
To return to point A from point B, Sunil must travel a distance of in the opposite direction (towards the West).
Thus, he has to drive ** towards the west**.