You are a member of your high school track team and you specialize as a long-distance runner. Your event is the 1500-meter run, also known as the metric mile, which you run at a constant rate. During one particular 1500-meter race you are 1200 meters from the finish line after running for 1 minute and 600 meters from the finish line after running for 3 minutes. What is your total time in minutes to complete this 1500-meter race and reach the finish line?

r = d/t = (1500-1200)/1min = 300 m/min =

Rate of speed.

T = 1500m * 1min/300m = 5 Min.

To find the total time it takes to complete the 1500-meter race and reach the finish line, we can use the concept of speed (rate) and distance.

Let's break down the problem:
- We know that the total distance of the race is 1500 meters.
- After running for 1 minute, you are 1200 meters from the finish line.
- After running for 3 minutes, you are 600 meters from the finish line.

To find your running speed (rate), we can calculate the distance covered per minute. We'll use the formula:

Speed (rate) = Distance / Time

First, let's find the distance you covered between the first and second measurements (600 meters in 2 minutes).

Distance = 1200 meters - 600 meters = 600 meters

Time = 3 minutes - 1 minute = 2 minutes

Speed (rate) = Distance / Time = 600 meters / 2 minutes = 300 meters/minute

So, your running speed is 300 meters/minute.

Now we can find the remaining distance to the finish line (300 meters) by determining how long it will take you to run that distance at this speed.

Time = Distance / Speed (rate) = 300 meters / 300 meters/minute = 1 minute

Since you're 300 meters from the finish line and it takes 1 minute to run that distance, we can add this time to the total time:

Total time = 3 minutes + 1 minute = 4 minutes

Therefore, it will take you a total of 4 minutes to complete the 1500-meter race and reach the finish line.