Sahasra started running from her house towards the north. After 40 meters she turned left and ran for 75 meters. She then turned right and ran for 30 meters, and again turned right to run 75 meters. In which direction was she running finally?
East
Analyzing Sahasra's Running Path and Final Direction
This question asks us to determine the final direction Sahasra was running after a sequence of movements and turns. To solve this type of direction puzzle, we need to trace her path step-by-step, keeping track of her current direction after each turn.
Step-by-Step Path Analysis
Let's break down Sahasra's movement sequence:
- Starts towards the North: Sahasra begins running in the North direction from her house.
- Runs 40 meters North: Her direction is still North.
- Turns Left and runs 75 meters: From North, a left turn means she is now facing and running towards the West.
- Runs 75 meters West: Her direction is still West.
- Turns Right and runs 30 meters: From West, a right turn means she is now facing and running towards the North.
- Runs 30 meters North: Her direction is still North.
- Turns Right and runs 75 meters: From North, a right turn means she is now facing and running towards the East.
- Runs 75 meters East: Her direction is still East.
Determining the Final Direction
After the final turn and movement, Sahasra was running towards the East. The distance covered in each segment helps visualize the path but is not required to find the final direction. Only the sequence of turns from the starting direction matters for the final direction.
Let's summarize the turns and directions:
- Start: North
- Turn 1 (Left from North): West
- Turn 2 (Right from West): North
- Turn 3 (Right from North): East
Therefore, the direction she was running in finally is East.
| Starting Direction | Turn | New Direction |
|---|---|---|
| North | Left | West |
| West | Right | North |
| North | Right | East |
Based on this analysis, the final direction is East.
Revision Table: Key Concepts in Direction Puzzles
| Concept | Explanation |
|---|---|
| Cardinal Directions | North, South, East, West. Arranged in a circle. |
| Turns | Turning Right or Left changes your facing direction by 90 degrees clockwise or anti-clockwise, respectively. |
| Tracing Path | Mentally (or on paper) follow the person's movement, updating their current direction after each turn. |
Additional Information: Understanding Turns
Understanding how turns affect direction is crucial for solving these problems. Imagine yourself facing a direction:
- Facing North: Right turn > East; Left turn > West.
- Facing East: Right turn > South; Left turn > North.
- Facing South: Right turn > West; Left turn > East.
- Facing West: Right turn > North; Left turn > South.
Each right turn is a 90-degree clockwise rotation, and each left turn is a 90-degree anti-clockwise rotation. By applying these rules sequentially, you can determine the final direction, regardless of the distances involved (unless the question asks for final position relative to start).
Similar Questions
Ramesh starts his journey by walking 2 kilometres towards the North. Then he takes a right turn and walks 1 kilometre. Again takes a right turn and walk 2 kilometers. Now which direction is he facing?
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Prem starts to school from his house and walks 400 metres towards north, turns left and walks 100 metres, turns left and walks 200 metres, turns left and walks 100 metres. How far he is away from his house?
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To attend an exam, Sudhir reached the school by travelling 5 km towards South, and after a sharp left turn, he travelled for about 10 km. He again made a sharp left turn and reached in front of the school by travelling 5 km more. Which direction is Sudhir’s starting point from the school?
Aman starts from a point, walks 3 meters north, turns right and walks 3 meters, turns right again and walks 3 meters. Which direction is he facing now?
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Johnson left for his office in his car. He drove 15km towards North and then 10km towards West. He then turned to South and covered 5km. Further, he turned to East & moved 10km. How far & in which direction is he from his starting point?
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Prabhu travelled from his house a distance of 20kms to his friend's house. After some time he left his friends house and took a turn towards right and travelled 15 kms to reach a park. After resting for a while, he again started and turned to right and travelled 18 kms to reach a petrol bunk. From there he again turned right and covered a distance of 15 kms. How many km more he has to travel to reach home?
Important Questions from Direction and Distance
What is the direction of U with respect to P?
What is the shortest distance between R and T?
If a person walks 3m towards the North from point V, takes a right turn and walks for another 15m, which of the following points would he reach?
In which direction is Amit facing at point F?
What is the distance between the starting point and the end point?
