A buzzer sounds every 15 minutes. Another buzzer sounds every 45minutes. If both buzzers will sound together at noon, what time they will buzz again together? How will you solve the problem?
Answers
Answer:
they will both ring at 1:00 PM
Step-by-step explanation:
question is if they will both sound at noon and noon is exactly 12:00 pm and if you add 45 and 15 you will get 60 so the answer is 1:00 PM
Given: A buzzer sounds every 15 minutes.Another buzzer sounds every 45minutes. Both buzzers sound together at noon.
To find: Time at which they will buzz again together
Solution: Let buzzer A buzz every 15 minutes and buzzer B buzz every 45 minutes.
Time at which they buzzed together= 12 p.m.
Now, for finding the time interval after which both buzzes together again, we find the lowest common multiple (LCM) of 15 and 45.
Multiples of 15= 15,30,45,60
Multiples of 45 = 45,90,135,180
We notice that the lowest common multiple of 15 and 45 is 45.
Therefore, both the buzzers buzz together after every 45 minutes.
Time at which they will buzz again
= 45 minutes after 12 p.m.
= 12:45 p.m.
Therefore, they will buzz again together at 12:45 p.m.