Answer:
it will take approximately 4.1667 hours for the two cars to be 500 miles apart when traveling in opposite directions.
Explanation:
When two cars are traveling in opposite directions, their distances from each other are adding up. This can be calculated using the formula:
Distance = Rate × Time
Given that the first car is moving at a speed of 55 mph and the second car is moving at a speed of 65 mph, the combined speed of the two cars is:
Combined Speed = Speed of First Car + Speed of Second Car
Combined Speed = 55 mph + 65 mph
Combined Speed = 120 mph
Now, you want to find out how long it will take for the two cars to be 500 miles apart. You can rearrange the formula to solve for time:
Time = Distance / Combined Speed
Plugging in the values:
Time = 500 miles / 120 mph
Time = 4.1667 hours
i hope this helps! if you have any further questions feel free to ask!