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Sohan drove 15 km to the west from his house, then turned left and drove 20 km. He then turned left and drove 25 km and finally turning left covered 20 km. How far he is from his house?
- a)80 km
- b)5 km
- c)10 km
- d)40 km
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
Sohan drove 15 km to the west from his house, then turned left and dro...
Distance between House and End point = 10km
Most Upvoted Answer
Sohan drove 15 km to the west from his house, then turned left and dro...
Given data:
- Sohan drove 15 km to the west from his house
- Then turned left and drove 20 km
- Then turned left and drove 25 km
- Finally turning left covered 20 km
To find: How far he is from his house?
Solution:
We can visualize the path taken by Sohan as follows:
```
20 km
+-------+
| | 25 km
| |
15 km |
| |
| |
+-------+
20 km
```
From the above diagram, we can see that Sohan has formed a rectangle. The distance between the two parallel sides of the rectangle gives us the distance between the starting point and the current point.
The length of the rectangle is the sum of the distances covered in the first and third turns, i.e., 15 km + 25 km = 40 km.
The breadth of the rectangle is the sum of the distances covered in the second and fourth turns, i.e., 20 km + 20 km = 40 km.
Therefore, the distance between Sohan's starting point and his current position is the diagonal of the rectangle, which can be found using the Pythagorean theorem.
Diagonal = √(length² + breadth²) = √(40² + 40²) = √(1600) = 40 km
Hence, the correct answer is option (c) 10 km.
- Sohan drove 15 km to the west from his house
- Then turned left and drove 20 km
- Then turned left and drove 25 km
- Finally turning left covered 20 km
To find: How far he is from his house?
Solution:
We can visualize the path taken by Sohan as follows:
```
20 km
+-------+
| | 25 km
| |
15 km |
| |
| |
+-------+
20 km
```
From the above diagram, we can see that Sohan has formed a rectangle. The distance between the two parallel sides of the rectangle gives us the distance between the starting point and the current point.
The length of the rectangle is the sum of the distances covered in the first and third turns, i.e., 15 km + 25 km = 40 km.
The breadth of the rectangle is the sum of the distances covered in the second and fourth turns, i.e., 20 km + 20 km = 40 km.
Therefore, the distance between Sohan's starting point and his current position is the diagonal of the rectangle, which can be found using the Pythagorean theorem.
Diagonal = √(length² + breadth²) = √(40² + 40²) = √(1600) = 40 km
Hence, the correct answer is option (c) 10 km.
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Sohan drove 15 km to the west from his house, then turned left and drove 20 km. He then turned left and drove 25 km and finally turning left covered 20 km. How far he is from his house?a)80 kmb)5 kmc)10 kmd)40 kmCorrect answer is option 'C'. Can you explain this answer?
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Sohan drove 15 km to the west from his house, then turned left and drove 20 km. He then turned left and drove 25 km and finally turning left covered 20 km. How far he is from his house?a)80 kmb)5 kmc)10 kmd)40 kmCorrect answer is option 'C'. Can you explain this answer? for Railways 2024 is part of Railways preparation. The Question and answers have been prepared according to the Railways exam syllabus. Information about Sohan drove 15 km to the west from his house, then turned left and drove 20 km. He then turned left and drove 25 km and finally turning left covered 20 km. How far he is from his house?a)80 kmb)5 kmc)10 kmd)40 kmCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Railways 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Sohan drove 15 km to the west from his house, then turned left and drove 20 km. He then turned left and drove 25 km and finally turning left covered 20 km. How far he is from his house?a)80 kmb)5 kmc)10 kmd)40 kmCorrect answer is option 'C'. Can you explain this answer?.
Sohan drove 15 km to the west from his house, then turned left and drove 20 km. He then turned left and drove 25 km and finally turning left covered 20 km. How far he is from his house?a)80 kmb)5 kmc)10 kmd)40 kmCorrect answer is option 'C'. Can you explain this answer? for Railways 2024 is part of Railways preparation. The Question and answers have been prepared according to the Railways exam syllabus. Information about Sohan drove 15 km to the west from his house, then turned left and drove 20 km. He then turned left and drove 25 km and finally turning left covered 20 km. How far he is from his house?a)80 kmb)5 kmc)10 kmd)40 kmCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Railways 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Sohan drove 15 km to the west from his house, then turned left and drove 20 km. He then turned left and drove 25 km and finally turning left covered 20 km. How far he is from his house?a)80 kmb)5 kmc)10 kmd)40 kmCorrect answer is option 'C'. Can you explain this answer?.
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