A flight leaves Dallas every 2 hours and one leaves Washington, D.C. every 45 minutes. What time will the next flights from both cities leave together after 5:00 AM?

To determine when the next flights from both Dallas and Washington, D.C. will leave together after 5:00 AM, it's essential to analyze the frequency of flights from each city.

Flights from Dallas leave every 2 hours. Therefore, if the first flight departs at 5:00 AM, the subsequent flights will leave at 7:00 AM, 9:00 AM, 11:00 AM, and so on.

Flights from Washington, D.C. depart every 45 minutes. Starting from 5:00 AM, the times for the next flights are 5:45 AM, 6:30 AM, 7:15 AM, 8:00 AM, 8:45 AM, 9:30 AM, 10:15 AM, 11:00 AM, and so forth.

To find the first time both flights will leave together after 5:00 AM, we need to identify the common departure times. Looking closely at the flight schedules, we note the following:

• The Dallas flights will leave at: 5:00, 7:00, 9:00, 11:00, etc.
• The Washington, D.C. flights will leave at: