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Two persons A and B started running simultaneously from a point P, around a circular track of length 1000 m, in opposite directions, with speeds of 4 m/s and 1 m/s respectively. The moment they crossed each other, two more persons, C and D, started from P towards A and B respectively, C running around the track in the direction opposite to A, with a speed of 1 m/sec and D running around the track, in the direction opposite to B, with a speed of 4 m/sec. Which of the following is a possible time when A, B, C and D will all meet at the same point on the track? (Assume that they continue indefinitely to run around the track in their respective directions).
- a)
- b)
- c)
- d)
Correct answer is option 'D'. Can you explain this answer?
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Verified Answer
Two persons A and B started running simultaneously from a po...
When A and B meet, D starts running in the same direction as that of A (or opposite to B) and at the same speed as that of A
(i.e. 4 m/s).
Hence D and A will never meet and therefore it is not possible for all four of A, B, C and D to ever meet at the same point. Hence they all will not meet ever. Option 4. Most Upvoted Answer
Two persons A and B started running simultaneously from a po...
Approach:
Let's assume that all four persons meet at point Q after time t.
1. Distance covered by A in time t = 4t.
2. Distance covered by B in time t = t.
3. Distance covered by C in time t = t.
4. Distance covered by D in time t = 4t.
As all four persons meet at the same point, the total distance covered by all four persons must be equal to the circumference of the circle (1000m).
5. Total distance covered by all four persons = (4t + t) + (t + 4t) = 10t
6. 10t = 1000
7. t = 100 seconds
Therefore, the possible time when A, B, C, and D will all meet at the same point on the track is 100 seconds. However, it is given that they continue indefinitely to run around the track in their respective directions, so they will never meet again at the same point on the track. Hence, the correct answer is option D - They will never meet.
Let's assume that all four persons meet at point Q after time t.
1. Distance covered by A in time t = 4t.
2. Distance covered by B in time t = t.
3. Distance covered by C in time t = t.
4. Distance covered by D in time t = 4t.
As all four persons meet at the same point, the total distance covered by all four persons must be equal to the circumference of the circle (1000m).
5. Total distance covered by all four persons = (4t + t) + (t + 4t) = 10t
6. 10t = 1000
7. t = 100 seconds
Therefore, the possible time when A, B, C, and D will all meet at the same point on the track is 100 seconds. However, it is given that they continue indefinitely to run around the track in their respective directions, so they will never meet again at the same point on the track. Hence, the correct answer is option D - They will never meet.
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Community Answer
Two persons A and B started running simultaneously from a po...
A and B will meet for the first time when A has run 800 meters and B has run 200 meters. Here, C starts running at the same speed as of A ie; 4m/s in the same direction as of A. That means A and C will never meet. C will always be 800 meters behind A.
Likewise, D starts running at the same speed as of B ie; 1m/s in the same direction as of B. That means B and D will never meet. D will always be 200 meters behind B.
Hence, the answer is option b).
Likewise, D starts running at the same speed as of B ie; 1m/s in the same direction as of B. That means B and D will never meet. D will always be 200 meters behind B.
Hence, the answer is option b).
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Two persons A and B started running simultaneously from a point P, around a circular track of length 1000 m, in opposite directions, with speeds of 4 m/s and 1 m/s respectively. The moment they crossed each other, two more persons, C and D, started from P towards A and B respectively, C running around the track in the direction opposite to A, with a speed of 1 m/sec and D running around the track, in the direction opposite to B, with a speed of 4 m/sec. Which of the following is a possible time when A, B, C and D will all meet at the same point on the track? (Assume that they continue indefinitely to run around the track in their respective directions). a) 60 min b) 30 min c) 48 min d) They will never meet Correct answer is option 'D'. Can you explain this answer?
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Two persons A and B started running simultaneously from a point P, around a circular track of length 1000 m, in opposite directions, with speeds of 4 m/s and 1 m/s respectively. The moment they crossed each other, two more persons, C and D, started from P towards A and B respectively, C running around the track in the direction opposite to A, with a speed of 1 m/sec and D running around the track, in the direction opposite to B, with a speed of 4 m/sec. Which of the following is a possible time when A, B, C and D will all meet at the same point on the track? (Assume that they continue indefinitely to run around the track in their respective directions). a) 60 min b) 30 min c) 48 min d) They will never meet Correct 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 Two persons A and B started running simultaneously from a point P, around a circular track of length 1000 m, in opposite directions, with speeds of 4 m/s and 1 m/s respectively. The moment they crossed each other, two more persons, C and D, started from P towards A and B respectively, C running around the track in the direction opposite to A, with a speed of 1 m/sec and D running around the track, in the direction opposite to B, with a speed of 4 m/sec. Which of the following is a possible time when A, B, C and D will all meet at the same point on the track? (Assume that they continue indefinitely to run around the track in their respective directions). a) 60 min b) 30 min c) 48 min d) They will never meet Correct 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 Two persons A and B started running simultaneously from a point P, around a circular track of length 1000 m, in opposite directions, with speeds of 4 m/s and 1 m/s respectively. The moment they crossed each other, two more persons, C and D, started from P towards A and B respectively, C running around the track in the direction opposite to A, with a speed of 1 m/sec and D running around the track, in the direction opposite to B, with a speed of 4 m/sec. Which of the following is a possible time when A, B, C and D will all meet at the same point on the track? (Assume that they continue indefinitely to run around the track in their respective directions). a) 60 min b) 30 min c) 48 min d) They will never meet Correct answer is option 'D'. Can you explain this answer?.
Two persons A and B started running simultaneously from a point P, around a circular track of length 1000 m, in opposite directions, with speeds of 4 m/s and 1 m/s respectively. The moment they crossed each other, two more persons, C and D, started from P towards A and B respectively, C running around the track in the direction opposite to A, with a speed of 1 m/sec and D running around the track, in the direction opposite to B, with a speed of 4 m/sec. Which of the following is a possible time when A, B, C and D will all meet at the same point on the track? (Assume that they continue indefinitely to run around the track in their respective directions). a) 60 min b) 30 min c) 48 min d) They will never meet Correct 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 Two persons A and B started running simultaneously from a point P, around a circular track of length 1000 m, in opposite directions, with speeds of 4 m/s and 1 m/s respectively. The moment they crossed each other, two more persons, C and D, started from P towards A and B respectively, C running around the track in the direction opposite to A, with a speed of 1 m/sec and D running around the track, in the direction opposite to B, with a speed of 4 m/sec. Which of the following is a possible time when A, B, C and D will all meet at the same point on the track? (Assume that they continue indefinitely to run around the track in their respective directions). a) 60 min b) 30 min c) 48 min d) They will never meet Correct 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 Two persons A and B started running simultaneously from a point P, around a circular track of length 1000 m, in opposite directions, with speeds of 4 m/s and 1 m/s respectively. The moment they crossed each other, two more persons, C and D, started from P towards A and B respectively, C running around the track in the direction opposite to A, with a speed of 1 m/sec and D running around the track, in the direction opposite to B, with a speed of 4 m/sec. Which of the following is a possible time when A, B, C and D will all meet at the same point on the track? (Assume that they continue indefinitely to run around the track in their respective directions). a) 60 min b) 30 min c) 48 min d) They will never meet Correct answer is option 'D'. Can you explain this answer?.
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Two persons A and B started running simultaneously from a point P, around a circular track of length 1000 m, in opposite directions, with speeds of 4 m/s and 1 m/s respectively. The moment they crossed each other, two more persons, C and D, started from P towards A and B respectively, C running around the track in the direction opposite to A, with a speed of 1 m/sec and D running around the track, in the direction opposite to B, with a speed of 4 m/sec. Which of the following is a possible time when A, B, C and D will all meet at the same point on the track? (Assume that they continue indefinitely to run around the track in their respective directions). a) 60 min b) 30 min c) 48 min d) They will never meet Correct answer is option 'D'. Can you explain this answer?, a detailed solution for Two persons A and B started running simultaneously from a point P, around a circular track of length 1000 m, in opposite directions, with speeds of 4 m/s and 1 m/s respectively. The moment they crossed each other, two more persons, C and D, started from P towards A and B respectively, C running around the track in the direction opposite to A, with a speed of 1 m/sec and D running around the track, in the direction opposite to B, with a speed of 4 m/sec. Which of the following is a possible time when A, B, C and D will all meet at the same point on the track? (Assume that they continue indefinitely to run around the track in their respective directions). a) 60 min b) 30 min c) 48 min d) They will never meet Correct answer is option 'D'. Can you explain this answer? has been provided alongside types of Two persons A and B started running simultaneously from a point P, around a circular track of length 1000 m, in opposite directions, with speeds of 4 m/s and 1 m/s respectively. The moment they crossed each other, two more persons, C and D, started from P towards A and B respectively, C running around the track in the direction opposite to A, with a speed of 1 m/sec and D running around the track, in the direction opposite to B, with a speed of 4 m/sec. Which of the following is a possible time when A, B, C and D will all meet at the same point on the track? (Assume that they continue indefinitely to run around the track in their respective directions). a) 60 min b) 30 min c) 48 min d) They will never meet Correct answer is option 'D'. Can you explain this answer? theory, EduRev gives you an
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