Two cars P and Q running in same direction around rectangular field ABCD as shown. Car P completes one round in every 18 minutes and Car Q completes one round in every 12 minutes. After what time will they meet if they start together from point A.

18

minutes

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36

minutes

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54

minutes

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72

minutes

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Solution

The correct option is B $36$ minutes
Car P completes one round in every $18$ minutes.
Car Q completes one round in $12$ minutes.

The time, when they will meet together, will be the LCM of $18$ and $12$ .

Ladder diagram for finding LCM of $18$ and $12$ will be.

LCM will be $2 \times 2 \times 3 \times 3 = 36.$
After $36$ minute they will meet together.

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