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A postman was returning to the post office which was in front of him to the north, When the post office was 100 m away from him, he turned to the left and moved 50 m to deliver the last letter at Shantivilla. He then moved in the same direction for 40 m, turned to his right, and moved 100 m. How many meters was he away from the post office?
- a)0
- b)90
- c)150
- d)100
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
A postman was returning to the post office which was in front of him ...
Clearly, the route of the postman Is as shown. So, at the final point the distance of postman from post office = PD = AC = AB + BC
= 50 + 40 = 90 m
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Community Answer
A postman was returning to the post office which was in front of him ...
Explanation:
To solve this problem, we need to visualize the movements of the postman and calculate the distance between his final position and the post office.
Step 1: Initial Position
The post office is in front of the postman to the north. We can assume that the postman is facing towards the north and the post office is directly in front of him.
Step 2: First Movement
When the post office is 100 m away from him, the postman turns to his left and moves 50 m to deliver the last letter at Shantivilla. This means that the postman has moved to the west by 50 m.
Step 3: Second Movement
After delivering the letter, the postman continues to move in the same direction (west) for 40 m. This means that the postman has moved a total of 50 m + 40 m = 90 m to the west.
Step 4: Final Movement
The postman then turns to his right and moves 100 m. Since he was moving in the west direction, turning right means he is now moving towards the north.
Step 5: Calculating the Distance
To calculate the distance between the postman's final position and the post office, we need to find the horizontal and vertical components separately.
Horizontal Component:
The postman has moved 90 m to the west and then 100 m to the north. These movements can be represented as a right-angled triangle. The horizontal component is the side adjacent to the angle formed by the postman's final position and the post office.
Vertical Component:
The postman has moved 100 m to the north. The vertical component is the side opposite to the angle formed by the postman's final position and the post office.
Using the Pythagorean theorem, we can calculate the distance between the postman's final position and the post office.
Distance = √(Horizontal Component² + Vertical Component²)
Distance = √(90² + 100²)
Distance = √(8100 + 10000)
Distance = √18100
Distance ≈ 134.585 m
Therefore, the postman is approximately 134.585 meters away from the post office.
Correct Answer:
The correct option is B) 90 meters.
To solve this problem, we need to visualize the movements of the postman and calculate the distance between his final position and the post office.
Step 1: Initial Position
The post office is in front of the postman to the north. We can assume that the postman is facing towards the north and the post office is directly in front of him.
Step 2: First Movement
When the post office is 100 m away from him, the postman turns to his left and moves 50 m to deliver the last letter at Shantivilla. This means that the postman has moved to the west by 50 m.
Step 3: Second Movement
After delivering the letter, the postman continues to move in the same direction (west) for 40 m. This means that the postman has moved a total of 50 m + 40 m = 90 m to the west.
Step 4: Final Movement
The postman then turns to his right and moves 100 m. Since he was moving in the west direction, turning right means he is now moving towards the north.
Step 5: Calculating the Distance
To calculate the distance between the postman's final position and the post office, we need to find the horizontal and vertical components separately.
Horizontal Component:
The postman has moved 90 m to the west and then 100 m to the north. These movements can be represented as a right-angled triangle. The horizontal component is the side adjacent to the angle formed by the postman's final position and the post office.
Vertical Component:
The postman has moved 100 m to the north. The vertical component is the side opposite to the angle formed by the postman's final position and the post office.
Using the Pythagorean theorem, we can calculate the distance between the postman's final position and the post office.
Distance = √(Horizontal Component² + Vertical Component²)
Distance = √(90² + 100²)
Distance = √(8100 + 10000)
Distance = √18100
Distance ≈ 134.585 m
Therefore, the postman is approximately 134.585 meters away from the post office.
Correct Answer:
The correct option is B) 90 meters.
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A postman was returning to the post office which was in front of him to the north, When the post office was 100 m away from him, he turned to the left and moved 50 m to deliver the last letter at Shantivilla. He then moved in the same direction for 40 m, turned to his right, and moved 100 m. How many meters was he away from the post office?a)0b)90c)150d)100Correct answer is option 'B'. Can you explain this answer?
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A postman was returning to the post office which was in front of him to the north, When the post office was 100 m away from him, he turned to the left and moved 50 m to deliver the last letter at Shantivilla. He then moved in the same direction for 40 m, turned to his right, and moved 100 m. How many meters was he away from the post office?a)0b)90c)150d)100Correct answer is option 'B'. Can you explain this answer? for JEE 2025 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about A postman was returning to the post office which was in front of him to the north, When the post office was 100 m away from him, he turned to the left and moved 50 m to deliver the last letter at Shantivilla. He then moved in the same direction for 40 m, turned to his right, and moved 100 m. How many meters was he away from the post office?a)0b)90c)150d)100Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for JEE 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A postman was returning to the post office which was in front of him to the north, When the post office was 100 m away from him, he turned to the left and moved 50 m to deliver the last letter at Shantivilla. He then moved in the same direction for 40 m, turned to his right, and moved 100 m. How many meters was he away from the post office?a)0b)90c)150d)100Correct answer is option 'B'. Can you explain this answer?.
A postman was returning to the post office which was in front of him to the north, When the post office was 100 m away from him, he turned to the left and moved 50 m to deliver the last letter at Shantivilla. He then moved in the same direction for 40 m, turned to his right, and moved 100 m. How many meters was he away from the post office?a)0b)90c)150d)100Correct answer is option 'B'. Can you explain this answer? for JEE 2025 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about A postman was returning to the post office which was in front of him to the north, When the post office was 100 m away from him, he turned to the left and moved 50 m to deliver the last letter at Shantivilla. He then moved in the same direction for 40 m, turned to his right, and moved 100 m. How many meters was he away from the post office?a)0b)90c)150d)100Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for JEE 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A postman was returning to the post office which was in front of him to the north, When the post office was 100 m away from him, he turned to the left and moved 50 m to deliver the last letter at Shantivilla. He then moved in the same direction for 40 m, turned to his right, and moved 100 m. How many meters was he away from the post office?a)0b)90c)150d)100Correct answer is option 'B'. Can you explain this answer?.
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