Question

At a track meet, Tim ran at a constant speed of 300 meters per minute.

After 8 minutes, he still had 600 meters left to run.
The distance Tim ran was three times as long as the distance Eric ran.
What was the distance that Eric ran?
​

Answer 1

Tim ran a total of 3000 meters, which is three times the distance that Eric ran. By dividing Tim's distance by three, we find that Eric ran 1000 meters.

Step-by-step explanation:

To solve for the distance Eric ran, we need to first determine the total distance Tim ran and then divide that by three as Tim's distance is three times longer than Eric's.

Tim's speed is 300 meters per minute, and he ran for 8 minutes before having 600 meters left to run. To calculate the distance Tim ran:

1. Multiply Tim's speed by the time he ran: 300 meters/minute * 8 minutes = 2400 meters.
2. Add the remaining distance to determine Tim's total distance: 2400 meters + 600 meters = 3000 meters.
3. Since Tim's distance is three times Eric's distance, divide Tim's total distance by three to find Eric's distance: 3000 meters / 3 = 1000 meters.

Therefore, the distance that Eric ran was 1000 meters.