A man walks 10km in north and turns his right and walks 20km. Again he...
Understanding the Problem
To solve the problem, let's visualize the man's movements step by step, keeping track of his position relative to the starting point.
Step-by-Step Movement
- Initial Movement:
- The man walks 10 km North.
- Position: (0, 10)
- First Turn:
- He turns right (towards the East) and walks 20 km.
- Position: (20, 10)
- Second Turn:
- He turns right again (now facing South) and walks 50 km.
- Position: (20, -40)
Calculating the Final Position
- The problem states he is 20 km West of the initial point.
- Initial point: (0, 0)
- Position 20 km West of initial: (-20, 0)
Setting Up the Equation
- The final position (20, -40) should equal the point (-20, 0) after the movements.
- To find the discrepancy, we calculate the difference in the x-coordinates:
- 20 (current x) - (-20) (desired x) = 40 km.
- The man needs to walk 40 km West to reach the desired position.
Conclusion
- From the problem setup, the man initially walked 10 km North, and then after the turns and corrections, he needs to walk 40 km West to reach the intended point.
- Thus, the initial distance he walked is confirmed as 10 km.
The answer options were (A) 50km (B) 30km (C) 45km (D) 60km, but based on the movements described, the initial distance walked is simply 10 km North. However, none of the options provided match the calculated distance, indicating a possible error in the options given.
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