Answer:
Explanation:To determine how many times A, B, and C will beep at the same time in 1 hour, we need to find the least common multiple (LCM) of the three beep intervals. The LCM is the smallest number that is divisible by all the given numbers. In this case, we need to find the LCM of 15, 40, and 100. To find the LCM, we can list the multiples of each number and look for the smallest common multiple: Multiples of 15: 15, 30, 45, 60, 75, 90, 105, 120, 135, 150, 165, 180, 195, 210, ... Multiples of 40: 40, 80, 120, 160, 200, 240, 280, 320, 360, 400, ... Multiples of 100: 100, 200, 300, 400, 500, 600, 700, 800, 900, 1000, ... From the lists above, we can see that the smallest common multiple of 15, 40, and 100 is 600. Therefore, A, B, and C will beep at the same time 600 seconds apart. To convert this to hours, we divide 600 by 60 (the number of seconds in a minute) to get 10. So, A, B, and C will beep at the same time 10 times in 1 hour.