Nisha takes 24 minutes to go around a circular park starting from point A, while Rahul takes only 18 minutes to go around the park starting from A. If they both start at the same time from point A, after how many minutes will they meet again?
Question
Nisha takes 24 minutes to go around a circular park starting from point A, while Rahul takes only 18 minutes to go around the park starting from A. If they both start at the same time from point A, after how many minutes will they meet again?
Solution
To solve this problem, we need to find the least common multiple (LCM) of the two given times. The LCM of 24 and 18 is the smallest number that both numbers divide into evenly.
Step 1: Prime factorize the two numbers. 24 = 2^3 * 3 18 = 2 * 3^2
Step 2: Take the highest power of each prime number from the factorizations.
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