A red bus leaves a themes every 24 minutes and a blue bus leaves the park every 20 minutes. they both leave the park at noon. where is the next time that both buses will leave the park?

The number of minutes after noon when they leave together will be the Lowest common Multiple of 20 and 24.

20 = 2*2*5

24 = 2*2*2*3

LCM = 2 * 2*2*3*5 = 120 minutes = 2 hours

So they will next leave st the same time at noon + 2 = 2.00 pm.