Three signals that beep. signal a beeps every 25 seconds
signal b beeps every 30 seconds
signal c beeps every 100 seconds.
The three signals start beeping at the same time.
How many times in one hour will the three signals beep?

signal a beeps every 25 seconds

signal b beeps every 30 seconds

signal c beeps every 100 seconds.

Answer to the above questions is 300,600,900 if the signal beep at the same time 12 times

Explanation to the above questions

we conclude that it will beep 12 times because 300,600,900,1200,1500,1800,2100,2400,2700,3000,3300,3600

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The number of times signal a beeps in 1 hour = 144 times

The number of times signal b beeps in 1 hour = 120 times

The number of times signal c beeps in 1 hour = 36 times

The number of times three signals bee in one hour = 12 times

Step-by-step explanation:

The given parameters are;

The period for each signals beep are;

Signal a beeps every 25 seconds

Signal b beeps every 30 seconds

Signal c beeps every 100 seconds

Therefore, in one hour, signal a will beep 1× 60 × 60/25 = 3600/25 = 144 times

In one hour, signal b will beep 1×60×60/30 = 3600/30 = 120 times

In one hour, signal c will beep 1×60×60/100 = 3600/100 = 36 times

Therefore, we have;

The number of times signal a beeps in 1 hour = 144 times

The number of times signal b beeps in 1 hour = 120 times

The number of times signal c beeps in 1 hour = 36 times

From Excel, we can see that the three signals beep the same time at 300, 600, 900, 1200, 1500, 1800, 2100, 2400, 2700, 3000, 3300, and 3600

The number of times three signals bee in one hour = 12 times