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Directions for Questions use the following information and answer the following questions:
ABC forms an equilateral triangle in which B is 2 km from A. A person starts walking from B in a direction parallel to AC and stops when he reaches a point D directly east of C. He, then, reverses direction and walks till he reaches a point E directly south of C.
The total distance walked by the person is
  • a)
    3 km
  • b)
    4 km
  • c)
    2√3 km
  • d)
    6 km
  • e)
    2.5 km
Correct answer is option 'D'. Can you explain this answer?
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Directions for Questions use the following information and answer the...
Question Analysis:
We are given an equilateral triangle ABC, where point B is 2 km from point A. A person starts walking from point B in a direction parallel to AC. The person stops when he reaches a point D directly east of point C. Then, the person reverses direction and walks till he reaches a point E directly south of point C. We need to find the total distance walked by the person.

Given Information:
- ABC is an equilateral triangle.
- AB = 2 km.
- The person walks parallel to AC.
- The person walks till point D directly east of C.
- The person then reverses direction and walks till point E directly south of C.

Solution:
To solve this question, we need to break it down into smaller steps.

Step 1: Drawing the Triangle:
Let's draw an equilateral triangle ABC, where AB = 2 km.

Step 2: Finding the Length of the Triangle:
Since ABC is an equilateral triangle, all sides are of equal length. Let's assume the length of each side is 'x'.

Step 3: Finding the Distance from B to D:
The person starts walking from point B in a direction parallel to AC. The person stops when he reaches a point D directly east of C. Since D is directly east of C, the distance from B to D will be equal to the length of the triangle.

Step 4: Finding the Distance from C to E:
The person reverses direction and walks till he reaches a point E directly south of C. Since E is directly south of C, the distance from C to E will also be equal to the length of the triangle.

Step 5: Finding the Total Distance:
The total distance walked by the person is equal to the sum of the distances from B to D and from C to E.

Step 6: Calculating the Total Distance:
Since the length of each side of the equilateral triangle is 'x', the distance from B to D will be 'x' and the distance from C to E will also be 'x'. Therefore, the total distance walked by the person will be 2x.

Step 7: Finding the Value of 'x':
We know that AB = 2 km. In an equilateral triangle, all sides are of equal length. Therefore, the length of each side of the triangle is 2 km. So, 'x' is equal to 2 km.

Step 8: Calculating the Total Distance:
Substituting the value of 'x' in the equation 2x, we get:
Total distance = 2 x 2 km = 4 km.

Step 9: Answer:
Therefore, the correct answer is option B) 4 km.
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Community Answer
Directions for Questions use the following information and answer the...
Total distance walked by the person = BD + DB + BE = 2 + 2 + 2 = 6 km
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Directions for Questions use the following information and answer the following questions:ABC forms an equilateral triangle in which B is 2 km from A. A person starts walking from B in a direction parallel to AC and stops when he reaches a point D directly east of C. He, then, reverses direction and walks till he reaches a point E directly south of C.The total distance walked by the person isa)3 kmb)4 kmc)2√3 kmd)6 kme)2.5 kmCorrect answer is option 'D'. Can you explain this answer?
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Directions for Questions use the following information and answer the following questions:ABC forms an equilateral triangle in which B is 2 km from A. A person starts walking from B in a direction parallel to AC and stops when he reaches a point D directly east of C. He, then, reverses direction and walks till he reaches a point E directly south of C.The total distance walked by the person isa)3 kmb)4 kmc)2√3 kmd)6 kme)2.5 kmCorrect answer is option 'D'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about Directions for Questions use the following information and answer the following questions:ABC forms an equilateral triangle in which B is 2 km from A. A person starts walking from B in a direction parallel to AC and stops when he reaches a point D directly east of C. He, then, reverses direction and walks till he reaches a point E directly south of C.The total distance walked by the person isa)3 kmb)4 kmc)2√3 kmd)6 kme)2.5 kmCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Directions for Questions use the following information and answer the following questions:ABC forms an equilateral triangle in which B is 2 km from A. A person starts walking from B in a direction parallel to AC and stops when he reaches a point D directly east of C. He, then, reverses direction and walks till he reaches a point E directly south of C.The total distance walked by the person isa)3 kmb)4 kmc)2√3 kmd)6 kme)2.5 kmCorrect answer is option 'D'. Can you explain this answer?.
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