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A boy rode his bicycle Northward, then turned left and rode 1 km and again turned left and rode 2 km. He found himself 1 km west of his starting point. How far did he ride northward initially?
  • a)
    1 km
  • b)
    2 km
  • c)
    3 km
  • d)
    5 km 
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
A boy rode his bicycle Northward, then turned left and rode 1 km and a...
The Solution:

To solve this problem, let's break it down step by step:

1. The boy rode his bicycle Northward.
2. Then, he turned left and rode 1 km.
3. After that, he turned left again and rode 2 km.
4. He found himself 1 km west of his starting point.

Let's analyze each step in more detail:

Step 1: The boy rode his bicycle Northward.
Since he started his journey by riding his bicycle Northward, this means he initially moved in the upward direction.

Step 2: He turned left and rode 1 km.
When he turned left, it means he made a 90-degree turn anticlockwise. So, if he initially moved Northward, turning left would mean he is now moving Westward. He rode 1 km in this direction.

Step 3: He turned left again and rode 2 km.
Since he turned left again, it means he made another 90-degree turn anticlockwise. So, if he was initially moving Westward, turning left would mean he is now moving Southward. He rode 2 km in this direction.

Step 4: He found himself 1 km west of his starting point.
After completing the above steps, the boy found himself 1 km west of his starting point. This means that he moved 1 km towards the West in Step 2 and then moved 1 km towards the North in Step 3.

Therefore, the total distance he rode northward initially can be calculated by subtracting the distance he moved towards the West (1 km) from the distance he moved towards the North (2 km).

So, the boy rode 2 km northward initially (2 km - 1 km = 1 km).

Hence, the correct answer is option 'B' - 2 km.
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A boy rode his bicycle Northward, then turned left and rode 1 km and again turned left and rode 2 km. He found himself 1 km west of his starting point. How far did he ride northward initially?a)1 kmb)2 kmc)3 kmd)5 kmCorrect answer is option 'B'. Can you explain this answer?
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