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Two radio stations are playing this week's #1 hit song. One radio station plays the song every 18 minutes. The other radio station plays the song every 24 minutes. Both stations play the song at 3:00 P.M. When is the next time the stations will play the song at the same time?

3:18 PM

1 Answer

3 votes

Answer:

The will play the song at the same time by 4:12 pm

Explanation:

here, we want to know the time both radio station will play the song after 3pm.

Mathematically to get this, we shall need to find the lcm of both 18 and 24. LCM stands for the lowest common multiple of both.

The lowest common multiple of both is 72.

This means that after 72 minutes, they will both play the song

So the time then would be;

72 + 3 = 4 : 12 pm

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User French
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