Mrs. Roy started from her house. She went 1 km towards North, then turned right and went 1 km, from there she again turned right and went 2 km. Then she turned left and covered 1 km. She again turned left and reached her bank after going 1 km. What is the distance between her house and the bank ?
Question
Mrs. Roy started from her house. She went 1 km towards North, then turned right and went 1 km, from there she again turned right and went 2 km. Then she turned left and covered 1 km. She again turned left and reached her bank after going 1 km. What is the distance between her house and the bank ?
Solution
The distance between Mrs. Roy's house and the bank is 1 km. Here's how:
- Mrs. Roy started from her house and went 1 km North.
- She turned right (which would be East if we consider North as upwards) and went 1 km.
- She turned right again (now going South) and went 2 km.
- She then turned left (going East) and covered 1 km.
- Finally, she turned left again (going North) and reached her bank after going 1 km.
If we visualize this, we can see that the bank is located 1 km East of her house. The 2 km South she walked and then 1 km North to the bank just brought her back up close to the horizontal line of her house. Therefore, the distance between her house and the bank is the 1 km she walked East.
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