Question 7
There is a circular path around a sports field. Sonia takes 18 minutes to drive one round of the field, while Ravi takes 12 minutes for the same. Suppose 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?

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Solution

They will be meeting again after LCM of both values at the starting point.
$18 = 2 \times 3 \times 3$
$12 = 2 \times 2 \times 3$
$L C M = 2 \times 2 \times 3 \times 3 = 36$
Therefore, they will meet together at the starting point after 36 minutes.

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Q. Question 7
There is a circular path around a sports field. Sonia takes 18 minutes to drive one round of the field, while Ravi takes 12 minutes for the same. Suppose 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?

There is a circular path around a sports field. Sonia takes 18 minutes to drive one round of the field, while Ravi takes 12 minutes for the same. Suppose 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?

There is a circular path around a sports field. Sonia takes 18 minutes to drive one round of the field, while Ravi takes 12 minutes for the same. Suppose they both start at the same point and at the same time, and go in the same direction. After how many minutes wil they meet again at the starting point?

There is a circular path around a sport field. Sonia takes 18min to drive one around of the field, while Ravi takes 12min for the same. Suppose they both start at the same point at the same time, and go in the same direction, after how minutes will they meet again at the starting point?

Q. There 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. Suppose 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? [3 MARK]

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GCD of Polynomials

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They will be meeting again after LCM of both values at the starting point. 18=2×3×3 12=2×2×3 LCM=2×2×3×3=36 Therefore, they will meet together at the starting point after 36 minutes.

They will be meeting again after LCM of both values at the starting point.
$18 = 2 \times 3 \times 3$
$12 = 2 \times 2 \times 3$
$L C M = 2 \times 2 \times 3 \times 3 = 36$
Therefore, they will meet together at the starting point after 36 minutes.