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Banking Exams Exam  >  Banking Exams Questions  >  A, B and C start at the same time in the same... Start Learning for Free
A, B and C start at the same time in the same direction to run around a circular stadium. A completes a round in 252 seconds, B in 308 seconds and c in 198 seconds, all starting at the same point. After what time will they again at the starting point?
  • a)
    26 minutes and 18 seconds
  • b)
    42 minutes and 36 seconds
  • c)
    45 minutes
  • d)
    46 minutes and 12 seconds
  • e)
    None of these
Correct answer is option 'D'. Can you explain this answer?
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Verified Answer
A, B and C start at the same time in the same direction to run around ...
L.C.M. of 252, 308 and 198 = 2772.
So, A, B and C will again meet at the starting point in 2772 sec. i.e., 46 min. 12 sec.
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Most Upvoted Answer
A, B and C start at the same time in the same direction to run around ...
Calculating the time to meet at the starting point:
First, we need to find the time taken by each person to complete one full round around the circular stadium.
Given:
A completes a round in 252 seconds
B completes a round in 308 seconds
C completes a round in 198 seconds

Calculating the least common multiple (LCM) of their times:
To find out when A, B, and C will meet at the starting point again, we need to find the least common multiple (LCM) of their times.
LCM of 252, 308, and 198:
252 = 2^2 * 3^2 * 7
308 = 2^2 * 7 * 11
198 = 2 * 3^2 * 11
LCM = 2^2 * 3^2 * 7 * 11 = 2772 seconds

Converting the LCM to minutes and seconds:
2772 seconds = 46 minutes and 12 seconds
Therefore, A, B, and C will meet at the starting point again after 46 minutes and 12 seconds, which corresponds to option D.
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A, B and C start at the same time in the same direction to run around a circular stadium. A completes a round in 252 seconds, B in 308 seconds and c in 198 seconds, all starting at the same point. After what time will they again at the starting point?a)26 minutes and 18 secondsb)42 minutes and 36 secondsc)45 minutesd)46 minutes and 12 secondse)None of theseCorrect answer is option 'D'. Can you explain this answer?
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