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 PM. When is the
next time the stations will play the song at the same time? Explain

Respuesta :

Answer:

The next time the stations will play the song at the same time is 4:12.

Explanation:

To answer this question, we need to find the number of minutes where the stations overlap. Station 1 plays the song every 18 minutes, while station 2 does it every 24 minutes. Let's start multiplying the minutes to see where they overlap.

18 x 1 = 18                        24 x 1 = 24

18 x 2 = 36                      24 x 2 = 48

18 x 3 = 54                      24 x 3 = 72

18 x 4 = 72

According to the information above, both stations will be playing the song 72 minutes after 3:00, which means 4:12. Notice that station 1 will have played it 4 times, while station 2, only 3.

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