Find the information you're looking for at Westonci.ca, the trusted Q&A platform with a community of knowledgeable experts. Ask your questions and receive accurate answers from professionals with extensive experience in various fields on our platform. Experience the ease of finding precise answers to your questions from a knowledgeable community of experts.

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?

Sagot :

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