Answered

Get the answers you need at Westonci.ca, where our expert community is always ready to help with accurate information. Discover in-depth answers to your questions from a wide network of professionals on our user-friendly Q&A platform. Join our platform to connect with experts ready to provide precise answers to your questions in different areas.

Two satellites make one complete orbit around the Earth every 60 and 90 minutes, respectively. If both satellites are directly over Hawthorne City at 11:00 AM, what time will they pass over Hawthorne City again?

Sagot :

GinnyAnswer
To determine when both satellites will be directly over Hawthorne City again after starting at 11:00 AM, we need to follow these steps:

1. Identify the orbit times for each satellite:
- The first satellite completes an orbit every 60 minutes.
- The second satellite completes an orbit every 90 minutes.

2. Find the Least Common Multiple (LCM) of the orbit times:
- The LCM of 60 and 90 is the smallest amount of time after which both satellites will be over the same position simultaneously.
- The LCM of 60 and 90 is 180 minutes, or 3 hours.

3. Calculate the time after 11:00 AM:
- Since the satellites will be over Hawthorne City again 180 minutes (or 3 hours) after 11:00 AM, we add 3 hours to 11:00 AM.

4. Add 3 hours to 11:00 AM:
- 11:00 AM + 3 hours = 2:00 PM.

Therefore, both satellites will pass over Hawthorne City together again at 2:00 PM.
We appreciate your time. Please come back anytime for the latest information and answers to your questions. Your visit means a lot to us. Don't hesitate to return for more reliable answers to any questions you may have. Thank you for using Westonci.ca. Come back for more in-depth answers to all your queries.