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?

Answer:

60 minutes

Step-by-step explanation:

To solve for the above question, we use the Lowest Common Multiple Method

We are told in the question that:

Tours for the National Capitol leave every 15 minutes. Tours for the White House leave every 20 minutes.

Find and list multiples of each number of minutes until the first common multiple is found. This is the lowest common multiple.

Multiples of 15:

15, 30, 45, 60, 75, 90

Multiples of 20:

20, 40, 60, 80, 100

Therefore,

LCM(15, 20) = 60

Therefore, the tours leave at the same time every 60 minutos

Final answer:

Tours for the National Capitol and the White House leave at the same time every hour.

Explanation:

The question is asking how often tours for the National Capitol and the White House leave at the same time. To answer this, we need to determine the leastcommon multiple (LCM) of the given frequencies. The frequency of tours for the National Capitol is every 15 minutes, while for the White House, it's every 20 minutes. The LCM of 15 and 20 is 60. Therefore, the tours for the National Capitol and the White House coincide every 60 minutes or, in other words, every hour.

Learn more about Least common multiple here:

brainly.com/question/30060162

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