P and Q walk along a circular track in opposite directions. P completes two rounds of the track in 1 minute and Q completes three rounds of the track in the same time. They start from the same point and walk for 2 minutes. How many times will they meet on the track between start time and end time?
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e 10.
P completes 2 rounds per minute → Speed = 2 rounds/min
Q completes 3 rounds per minute → Speed = 3 rounds/min
They walk in opposite direction.
Time = 2 minutes
Since they are walking in opposite directions, their relative speed = 2 + 3 = 5 rounds per minute
Total time = 2 minutes
Total relative distance covered = 5 × 2 = 10 rounds
Hence,
They will meet 10 times in 2 minutes.