Question

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

Answer 1

1 PM

Explanation:

Find the least common multiple of 36 and 45 to get the next time they are equal

Factorize

36 = 2 * 2 * 3 * 3

45 = 3 * 3 * 5

Multiply for 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