A blue light flashes every 8 seconds
A red light flashes every 12 seconds
Both lights just flashed together
How many seconds will both lights flash togetherness?
LCM(10,12) = 60
8+12=92seconds
To find out how many seconds both lights will flash together, we need to determine when the two lights will both flash at the same time again.
First, let's find the least common multiple (LCM) of 8 seconds and 12 seconds.
The multiples of 8 seconds are: 8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96, 104, ...
The multiples of 12 seconds are: 12, 24, 36, 48, 60, 72, 84, 96, ...
From these lists, we can see that the LCM of 8 and 12 is 24 seconds.
Now, we know that both lights flash at the same time every 24 seconds.
Therefore, both lights will flash together for 24 seconds.