the green light flashes every 3 seconds,the red every 5 seconds and white at 10 seconds. iF they flash at 12 noon.When will they flash together again in a minute? in an hour?
Both, in a minute and in an hour.
The LCM of 3, 5 and 10 is the same as the LCM of 3 and 10 because 5 divides 10 (5 is a factor of 10).
The LCM of 3 and 10 is 30.
So the soonest the will flash together is 30 seconds.
The LCM of 3, 5 and 10 is the same as the LCM of 3 and 10 because 5 divides 10 (5 is a factor of 10).
The LCM of 3 and 10 is 30.
So the soonest the will flash together is 30 seconds.
To find out when the green, red, and white lights will flash together again, we need to find the least common multiple (LCM) of their flashing intervals.
The green light flashes every 3 seconds, so it will flash at 12:00:03, 12:00:06, 12:00:09, and so on. The red light flashes every 5 seconds, so it will flash at 12:00:05, 12:00:10, 12:00:15, and so on. The white light flashes every 10 seconds, so it will flash at 12:00:10, 12:00:20, 12:00:30, and so on.
To find when they will all flash together again within a minute, we need to find the LCM of 3, 5, and 10. The LCM of these numbers is 30 seconds. So, they will flash together again at 12:00:30.
To find when they will all flash together again within an hour, we need to find the LCM of 3, 5, and 10 but expressed in minutes. The LCM of these numbers is 30 minutes. So, they will flash together again at 12:30:00.
In summary, the green, red, and white lights will flash together again in a minute at 12:00:30 and in an hour at 12:30:00.