Question

#14 two cars start from the same point, at 11:05 am, traveling in opposite directions at 45 and 24 mph, respectively. At what time will they be 460 miles apart?

Answer 1

By adding the speeds of two cars traveling in opposite directions and dividing the distance by the combined speed, we find that the cars will be 460 miles apart at 5:45 pm after starting at 11:05 am.

Step-by-step explanation:

To determine at what time two cars traveling in opposite directions will be 460 miles apart, we can use the concept of relative velocity. The cars are moving away from each other, so their speeds add up. The first car's speed is 45 mph, and the second car's speed is 24 mph. The combined speed is 45 mph + 24 mph = 69 mph. Next, we need to calculate the time it will take for the cars to be 460 miles apart using the formula time = distance / speed. Time = 460 miles / 69 mph = 6.6667 hours, or approximately 6 hours and 40 minutes. Since the cars started at 11:05 am, adding 6 hours and 40 minutes to this start time gives us the time when they will be 460 miles apart. We can calculate this by adding 6 hours to 11:05 am, getting us to 5:05 pm, and then adding the additional 40 minutes gets us to 5:45 pm. Therefore, the two cars will be 460 miles apart at 5:45 pm.

Answer 2

The cars travel at a 21MPH difference, so if we divide 460 by 21, we get 21.9

Answer: 21.9 hours