To determine how far apart two cars will be after three hours of traveling at constant speeds, we need to know the speeds of the cars. Let's assume the speed of car A is SA and the speed of car B is SB.
If both cars are traveling in the same direction, the distance between them will increase over time. In this case, the formula to calculate the distance between the two cars after three hours is:
Distance = (SA - SB) * Time
For example, if car A is traveling at 60 miles per hour (mph) and car B is traveling at 50 mph in the same direction, the distance between them after three hours would be:
Distance = (60 mph - 50 mph) * 3 hours = 10 mph * 3 hours = 30 miles
So, after three hours, the two cars would be 30 miles apart.
If the cars are traveling in opposite directions, the distance between them will decrease over time. In this case, the formula to calculate the distance between the two cars after three hours is:
Distance = (SA + SB) * Time
Using the same example speeds as before, if car A is traveling at 60 mph and car B is traveling at 50 mph in opposite directions, the distance between them after three hours would be:
Distance = (60 mph + 50 mph) * 3 hours = 110 mph * 3 hours = 330 miles
So, after three hours, the two cars would be 330 miles apart.
It's important to note that these calculations assume constant speeds and no stops or deviations from the specified speeds during the three-hour period.