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Three men A, B and C go around a circle, 1760 metres in circumference, at the speeds of 160, 120 and 105 metres per minute, respectively. If they all start together, after what time will they meet again?
  • a)
    4 hours 35 minutes
  • b)
    5 hours 52 minutes
  • c)
    6 hours 24 minutes
  • d)
    1 hour 16 minutes
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
Three men A, B and C go around a circle, 1760 metres in circumference,...
A and B move at a speed of (160 - 120) = 40 metres per minute.
A and B come together in 1760/40 = 44 minutes.
A and C move together at a relative speed of (160 - 105) = 55 metres per minute.
A and C come together in 1760/55 = 32 minutes.
A, B and C come together in 352 minutes (LCM of 44 and 32).
A, B and C come together in 5 hours 52 minutes.
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Community Answer
Three men A, B and C go around a circle, 1760 metres in circumference,...
To solve this problem, we can use the concept of relative speed. Let's break down the problem into smaller steps:

Step 1: Find the time taken by each person to complete one full circle
- Person A covers 160 meters in 1 minute, so he will cover the entire circumference of 1760 meters in 11 minutes.
- Person B covers 120 meters in 1 minute, so he will cover the entire circumference of 1760 meters in 14.67 minutes (1760/120).
- Person C covers 105 meters in 1 minute, so he will cover the entire circumference of 1760 meters in 16.76 minutes (1760/105).

Step 2: Find the least common multiple (LCM) of the times taken by each person to complete one full circle
The LCM of 11, 14.67, and 16.76 is 70. Therefore, they will meet again after 70 minutes.

Step 3: Convert the time into hours and minutes
Since 70 minutes is equal to 1 hour and 10 minutes, they will meet again after 1 hour and 10 minutes.

Therefore, the correct answer is option 'B' - 5 hours 52 minutes.
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Three men A, B and C go around a circle, 1760 metres in circumference, at the speeds of 160, 120 and 105 metres per minute, respectively. If they all start together, after what time will they meet again?a)4 hours 35 minutesb)5 hours 52 minutesc)6 hours 24 minutesd)1 hour 16 minutesCorrect answer is option 'B'. Can you explain this answer?
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Three men A, B and C go around a circle, 1760 metres in circumference, at the speeds of 160, 120 and 105 metres per minute, respectively. If they all start together, after what time will they meet again?a)4 hours 35 minutesb)5 hours 52 minutesc)6 hours 24 minutesd)1 hour 16 minutesCorrect answer is option 'B'. 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 Three men A, B and C go around a circle, 1760 metres in circumference, at the speeds of 160, 120 and 105 metres per minute, respectively. If they all start together, after what time will they meet again?a)4 hours 35 minutesb)5 hours 52 minutesc)6 hours 24 minutesd)1 hour 16 minutesCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Three men A, B and C go around a circle, 1760 metres in circumference, at the speeds of 160, 120 and 105 metres per minute, respectively. If they all start together, after what time will they meet again?a)4 hours 35 minutesb)5 hours 52 minutesc)6 hours 24 minutesd)1 hour 16 minutesCorrect answer is option 'B'. Can you explain this answer?.
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