Question

beginning at 8:30 A.M., tours of the national captiol and the white house begin. the national capitol leave every 15 minutes, and the white house leave every 20 minutes. how often do the tours leave at the same time

Answer 1

Tours of the National Capitol and the White House coincide every hour, as the least common multiple of their 15-minute and 20-minute intervals is 60 minutes.

Step-by-step explanation:

Beginning at 8:30 A.M., tours of the National Capitol leave every 15 minutes and tours of the White House leave every 20 minutes. To determine how often the tours leave at the same time, we must find the least common multiple (LCM) of the two intervals, 15 minutes and 20 minutes. The LCM of 15 and 20 is 60 minutes or 1 hour. Therefore, the tours will leave at the same time every hour.

Answer 2

evey half hour for example the next time would be 9:30 then 10:30 then 11:30 and so on