one radio station broadcast a weather forecast every 18 minutes and another station broadcast a commercial every 15 minutes. If the stations both a weather forecast and😛a commercial at noon,when is the next time that both will be broadcast at the same time
18 = 3*3*2
15 = 3*5
LCM = 3*3*2*5 = 90 minutes so 1:30
1:30
Yes It is 90 Minutes or 1:30pm correct
To find out when both stations will broadcast a weather forecast and a commercial at the same time, we need to find the least common multiple (LCM) of 18 minutes and 15 minutes.
First, let's list the multiples of 18: 18, 36, 54, 72, 90, ...
Next, let's list the multiples of 15: 15, 30, 45, 60, 75, 90, ...
You can see that the first common multiple of 18 and 15 is 90 minutes. Therefore, both stations will broadcast a weather forecast and a commercial at the same time 90 minutes (1 hour and 30 minutes) after they both started at noon.
So, the next time both stations will be broadcast at the same time is 1:30 PM.