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PLEASE HELP Two bells ring every 10 and 25 minutes respectively. They start ringing together at 6 a.m. At what time will they next ring together?

Respuesta :

They next ring together will be at 6:50 a.m.

Step-by-step explanation:

The given is:

  • Two bells ring every 10 and 25 minutes respectively
  • They start ringing together at 6 a.m.

We need to know at what time will they next ring together

To solve the problem lets find the lowest common multiple of 10 and 25

∵ The multiples of 10 are 10 , 20 , 30 , 40 , 50 , 60 , 70 , 80 , 90 , 100 , .....

∵ The multiples of 25 are 25 , 50 , 75 , 100 , ........

∵ The common multiples of 10 and 25 are 50 , 100 , ......

∴ The lowest common multiple of 10 and 25 is 50

∵ The two bells start ringing together at 6 a.m.

∵ The first bell rings every 10 minutes

∴ The first bell rings at 6:10 a.m. , 6:20 a.m. , 6:30 a.m. , 6:40 a.m. ,

   6:50 a.m. , .........

∵ The second bell rings every 25 minutes

∴ The second bell rings at 6:25 a.m. , 6:50 a.m. , ........

∴ They start ringing together at 6:50 a.m.

They next ring together will be at 6:50 a.m.

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You can learn more about the factors in brainly.com/question/5194236

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