Answer:
12:30 pm
Explanation:
Radio station A
Weather forecast every 15 minutes
Radio station B
commercial every 6 minutes
If the stations broadcast both a weather forecast and a commercial at noon, when is the next time that both will broadcast at the same time?
To find the next time both stations will broadcast at the same time, find the lowest common multiples of the two broadcast
Radio station A
Weather forecast every 15 minutes
= 30, 45, 60
Radio station B
commercial every 6 minutes
= 12, 18, 24, 30, 36, 42, 48, 54
The lowest common multiple of both stations is 30 minutes
Noon + 30 minutes
= 12:00pm + 30 minutes
= 12:30 pm