A, B and C start running around a circular field having circumference 144m at the same time from the same point. Speeds of A, B and C are 6 m/min, 8 m/min and 12 m/min. Find after how much time, they will meet again at the same point for the first time.
বিকল্পসমূহ (নিজের উত্তর যাচাই করতে ক্লিক করুন):
সঠিক উত্তর
ক (72 min)
বিস্তারিত ব্যাখ্যা ও বিশ্লেষণ:
Solution:
Speed of A = 6 m/minute
Speed of B = 8 m/minute
Speed of C = 12 m/minute
Distance =144 m
We know that, Time = Distance/speed
Time taken by A to complete one round =144/6 = 24 minutes
Time taken by B to complete one round =144/8 = 18 minutes
Time taken by C to complete one round = 144/12 = 12 minutes
LCM of 24,18 and 12 = 72
Thus, they will meet after 72 minutes.