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Two persons P and Q started walking simultaneously from two points A and B respectively along AD and BC, two of the sides of the rectangle ABCD with uniform speeds. By the time P reached D, Q reached E such that BC = 4 BE. At this point of time, they exchange their speeds and starts walking towards C.If they reach C simultaneously, then what is the ratio of BC to AB?
  • a)
    1 : 4
  • b)
    4 : 1
  • c)
    16 : 3
  • d)
    3 : 16
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
Two persons P and Q started walking simultaneously from two points A a...
Given a rectangle ABCD,
►Let AB=CD=x and AD=BC=y
►By the time P reaches D, Q reaches E. So the ratio of speeds of P and Q is 4:1.
►Let the speeds of P and Q be 1 and 4 respectively after they interchange their speeds.
►It is given that they reach point C simultaneously i.e time =  constant  
►So, 
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Most Upvoted Answer
Two persons P and Q started walking simultaneously from two points A a...
Given a rectangle ABCD,
►Let AB=CD=x and AD=BC=y
►By the time P reaches D, Q reaches E. So the ratio of speeds of P and Q is 4:1.
►Let the speeds of P and Q be 1 and 4 respectively after they interchange their speeds.
►It is given that they reach point C simultaneously i.e time =  constant  
►So, 
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Community Answer
Two persons P and Q started walking simultaneously from two points A a...
Given Data:
- P and Q start walking from points A and B along AD and BC respectively in a rectangle ABCD.
- By the time P reaches D, Q reaches E such that BC = 4BE.
- They exchange speeds at this point and start walking towards point C.
- They reach C simultaneously.

Solution:

Let the length of AB be x units.
- Since P and Q start walking simultaneously and reach D and E respectively, the ratio of their speeds is equal to the ratio of DE to AB.
- Let the speed of P be Vp and the speed of Q be Vq.
- We know that DE = 4BE. Therefore, the time taken by Q to reach E is 4 times the time taken by P to reach D.
- When they exchange speeds at point E, the time taken by P to reach C = Time taken by Q to reach C.
- As the speeds are exchanged, the distance covered by P in reaching C is equal to the distance covered by Q in reaching C.

Let the length of BC be y units.
- Since BC = 4BE, we can say that BC = 4 * DE.
- Therefore, BC = 4 * (Vq * 4t) = 16Vq * t, where t is the time taken to reach E.
- Similarly, AB = Vp * t.
- As they reach C simultaneously, AB = BC.
- Therefore, Vp * t = 16Vq * t.
- This implies Vp = 16Vq.
- Since AB = BC, x = y.
- Therefore, the ratio of BC to AB is 16:3.
Thus, the correct answer is option C) 16:3.
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Two persons P and Q started walking simultaneously from two points A and B respectively along AD and BC, two of the sides of the rectangle ABCD with uniform speeds. By the time P reached D, Q reached E such that BC = 4 BE. At this point of time, they exchange their speeds and starts walking towards C.If they reach C simultaneously, then what is the ratio of BC to AB?a)1 : 4b)4 : 1c)16 : 3d)3 : 16Correct answer is option 'C'. Can you explain this answer?
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Two persons P and Q started walking simultaneously from two points A and B respectively along AD and BC, two of the sides of the rectangle ABCD with uniform speeds. By the time P reached D, Q reached E such that BC = 4 BE. At this point of time, they exchange their speeds and starts walking towards C.If they reach C simultaneously, then what is the ratio of BC to AB?a)1 : 4b)4 : 1c)16 : 3d)3 : 16Correct answer is option 'C'. Can you explain this answer? for CAT 2025 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about Two persons P and Q started walking simultaneously from two points A and B respectively along AD and BC, two of the sides of the rectangle ABCD with uniform speeds. By the time P reached D, Q reached E such that BC = 4 BE. At this point of time, they exchange their speeds and starts walking towards C.If they reach C simultaneously, then what is the ratio of BC to AB?a)1 : 4b)4 : 1c)16 : 3d)3 : 16Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for CAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two persons P and Q started walking simultaneously from two points A and B respectively along AD and BC, two of the sides of the rectangle ABCD with uniform speeds. By the time P reached D, Q reached E such that BC = 4 BE. At this point of time, they exchange their speeds and starts walking towards C.If they reach C simultaneously, then what is the ratio of BC to AB?a)1 : 4b)4 : 1c)16 : 3d)3 : 16Correct answer is option 'C'. Can you explain this answer?.
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