Answer:
4.12 PM
Explanation:
Radio station 1 : Plays the song every 18 minutes
Radio station 2 : 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?
Find the lowest common multiple of 18 and 24
18 : 18, 36, 54, 72, 90, 108, 126, 144, 162, 180, 198, 216, 234, 252, 270
24 : 48, 72, 96, 120, 144, 168, 192, 216
The lowest common multiple of 18 minutes and 24 minutes is 72 minutes
72 minutes = 1 hour 12 minutes
Add 1 hour 12 minutes to 3:00 PM to know when both radio station will play the song at the same time
= 3.00 PM + 1 hour 12 minutes
= 4.12 PM