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There are 3 particles A, B, and C moving around a circumference at a constant speed i

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by Max@Math Revolution » Thu Jun 18, 2020 1:09 am

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[GMAT math practice question]

There are 3 particles A, B, and C moving around a circumference at a constant speed in the same direction. Particle A runs 15 laps per minute, B runs 20 laps per minute, and C takes 8 seconds for one lap. If particles A, B, and C start from point P at the same time, how many times will the three particles pass point P simultaneously during the next 10 minutes?

A. 12
B. 18
C. 25
D. 29
E. 33
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Re: There are 3 particles A, B, and C moving around a circumference at a constant speed i

by Max@Math Revolution » Sun Jun 21, 2020 6:20 pm
=>
Particles A, B, and C take 4, 3, and 8 seconds, respectively.
The least common multiple of 4, 3, and 8 is 24.
Then those three particles meet on at point P every 24 seconds.
Since 10 minutes is 600 seconds, they meet at point P, 600 / 24 = 25 times.

Therefore, C is the answer.
Answer: C
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