Rahul , Rita and Rashmi cycle everyday along a circular ring road. They 8 , 12 and 16 minutes, respectively, to take a complete round. If all of them start at the same time from the same place, after how much time will all three of them meet at the same place again ?
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Answer:
HCF of 8, 12 & 16 : 96
Step-by-step explanation:
We need to find out after how many rounds they will all meet again.
Number of rounds by Rahul = a
Number of rounds by Rita = b
Number of rounds by Rashmi = c
The condition to be met:
Time taken by Rahul to go one round multiplied by number of rounds = Time taken by Rita to go one round multiplied by number of rounds = Time taken by Rashmi to go one round multiplied by number of rounds = x
mathematical:
8min X a = 12min X b = 16min X c = x
8min X 12 = 12min X 8 = 16mim X 6 = 96min
they all meet again at the same place after 96min.
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