A lighthouse flashes its light every 12 minutes.Another lighthouse flashes every 18 mins. If the two lighhouses flash together at 12:00 noon,at what time will they next flash together?
LCM(12,18) = 36
12.36
lol wrong
hey can u maybe do one 12 sec and 10 sec?
Hereda
To determine when the two lighthouses will next flash together, we need to find the least common multiple (LCM) of their flashing intervals - 12 minutes and 18 minutes.
To find the LCM, we can list the multiples of each interval until we find a common value:
Multiples of 12 minutes: 12, 24, 36, 48, 60, 72, 84, 96, 108, 120, 132, 144, 156, 168, 180, 192, 204, 216, 228, 240, ...
Multiples of 18 minutes: 18, 36, 54, 72, 90, 108, 126, 144, 162, 180, 198, 216, 234, 252, 270, ...
From the lists above, we can see that the first common multiple is 36, which means that the two lighthouses will next flash together after 36 minutes.
Since they flashed together at 12:00 noon, we can find the next time they will flash together by adding 36 minutes to 12:00 noon.
12:00 noon + 36 minutes = 12:36 PM
Therefore, the two lighthouses will next flash together at 12:36 PM.