Question
Download Solution PDFThere is a circular path around a sports field. Priya takes 18 minutes to drive one round of the field, while Ravish takes 12 minutes for the same. If they both start at 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?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Priya takes 18 minutes to drive one round.
Ravish takes 12 minutes to drive one round.
Calculation:
The time they meet again at the starting point is the Least Common Multiple (LCM) of their individual times.
We need to find the LCM of 18 and 12.
Prime factorization of 18: 2 × 3 × 3 = 2 × 32
Prime factorization of 12: 2 × 2 × 3 = 22 × 3
LCM(18, 12) = 22 × 32 = 4 × 9 = 36
Therefore, they will meet again at the starting point after 36 minutes.
∴ They will meet again at the starting point after 36 minutes.
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