Question : There is a circular path around a sports field. Rahul takes 15 minutes to drive one round of the field, while Anil takes 18 minutes for the same. Suppose they both start from the same point and at the same time and go in the same direction. After how many minutes will they meet again at the starting point?
Option 1: 120
Option 2: 100
Option 3: 80
Option 4: 90
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Correct Answer: 90
Solution :
Rahul and Anil will meet again at the starting point when they both complete a whole number of laps.
This will happen at the least common multiple (LCM) of the times they take to complete one round.
$\therefore$ The LCM of 15 minutes (Rahul's time) and 18 minutes (Anil's time) is 90 minutes.
Hence, the correct answer is 90.
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