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A bus heading to Belfast leaves Antrim every 36 minutes.
A bus heading to Ballymena leaves Antrim every 45 minutes
At 10am bus to Belfast and a bus to Ballymena both leave Antrim Bus Station.
Work out the next time that both buses leave at the same time.

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mhanifa

Answer:

  • At 1 PM

Step-by-step explanation:

The leaving intervals are 36 and 45 minutes.

To find out the next time, first find the LCM of the two numbers.

Factorize each:

  • 36 = 2*2*3*3
  • 45 = 3*3*5

Find the LCM:

  • LCM(36, 45) = 2*2*3*3*5 = 180 minutes = 3 hours

Add 3 hours to 10 AM:

  • 10 AM + 3 hours =  1 PM

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