a circular track around a sport ground has circumference of 1080 m two cyclists am and Shah start together and cycle at constant speed of 6 m per second and 9 M per second respectively around a circular track after how many minutes will they meet again at the starting point
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Answer:
They meet after 360 seconds.
Step-by-step explanation:
We first need to get the time taken by each Cyclist to go round the circular track.
Given distance and speed the time is given by :
Time = Distance / Speed
Time taken by Am will be :
Time = 1080/6 = 180 seconds
Time taken by Shah will be given by :
Time = 1080/9 = 120 seconds
These are the times they take to complete one revolution.
To get the time they meet again we will get the LCM of 180 and 120.
The LCM of 120 and 180 is 360
Therefore the two meet after 360 seconds.
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