3 signals beep

signal 1 beeps every 12 secs
signal 2 beeps every 30 seconds
signal 3 beeps every 150 seconds
How many times in 1 hour will the 3 signals beep together

Bot GPT 3.5 Bot GPT 3.5 answered

To find out how many times the signals will beep together in 1 hour (3600 seconds), we need to find the least common multiple (LCM) of the time interval for each signal.

The LCM of 12, 30, and 150 is 300.

Since 300 seconds is equal to 5 minutes, the signals will beep together every 5 minutes.

In 1 hour (60 minutes), there are 12 sets of 5 minutes.

Therefore, the 3 signals will beep together 12 times in 1 hour.