Beginning at 8:30 am, tours of the National Capitol and the White House begin at a tour agency. Tours for the National Capitol leave every 15 minutes. Tours for the White House leave every 20 minutes. How often do the tours leave at the same time?(1 point) Responses every 60 minutes every 60 minutes every 15 minutes every 15 minutes every 30 minutes every 30 minutes every 35 minutes

1 answer

To find how often the tours leave at the same time, we need to find the least common multiple (LCM) of 15 minutes and 20 minutes.

The multiples of 15 minutes are: 15, 30, 45, 60, ...

The multiples of 20 minutes are: 20, 40, 60, ...

The LCM is the smallest number that appears in both lists. In this case, the LCM is 60 minutes. Therefore, the tours leave at the same time every 60 minutes.