At a constant speed, the time difference between 40 mph and 50 mph over a 2-mile response is about how many seconds?

To determine the time difference between traveling at 40 mph and 50 mph over a distance of 2 miles, we can use the formula for time, which is time equals distance divided by speed.

First, calculate the time taken to travel 2 miles at 40 mph:

• Time at 40 mph = Distance / Speed = 2 miles / 40 mph = 0.05 hours. Converting 0.05 hours into seconds:

0.05 hours × 3600 seconds/hour = 180 seconds.

Next, calculate the time taken to travel 2 miles at 50 mph:

• Time at 50 mph = Distance / Speed = 2 miles / 50 mph = 0.04 hours. Converting 0.04 hours into seconds:

0.04 hours × 3600 seconds/hour = 144 seconds.

Now, subtract the time at 50 mph from the time at 40 mph to find the time difference:

• Time difference = 180 seconds - 144 seconds = 36 seconds.

However, if we are looking for a way to approximate or quickly calculate the difference, it can be noted that the difference grows smaller as speed increases, indicating that possibly there