Math, asked by balrohanreddy24, 14 days ago

A electronic device makes a beep after every 15 minutes. Another device makes a beep after every 20 minutes. They beeped together at 10:00 a.m . At what time will they make the next beep together​

Answers

Answered by tejaswi2013
35

ANSWEER;

LCM of 15 and 20 is 60

LCM of 15 and 20 is 60So they will beep after 60 min =1 hour, hence it will again ring at 7 am AN

Answered by TheBrainliestUser
101

Answer:

  • They will make the next beep together at 11.00 am.

Step-by-step explanation:

Given that:

  • A electronic device makes a beep after every 15 minutes.
  • Another device makes a beep after every 20 minutes.
  • They beeped together at 10:00 a.m.

To Find:

  • At what time will they make the next beep together.

Concept:

  • We have to find the LCM of of the time interval of beeping of these devices. After that we will get the time when both the device beep together.

Finding the LCM of 15 and 20:

By prime factorisation method.

Factor of 15 = 3 × 5

Factor of 20 = 2² × 5

LCM of 15 and 20 = 2² × 3 × 5 = 60

We get that:

  • After 60 minutes or 1 hour of starting they beep together.

  • If they beep together at 10.00 a.m then next time they will make the beep together at 11.00 a.m.

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