Track Meet Strategy

You are helping to coach a runner who is training for a track meet. Jorge is running in the 1500-meter race against Alex, who is the best runner at another school. Your task is to develop a strategy to help Jorge finish the race before Alex.

Running Data:
- Jorge's average speed is 5.9 meters per second for distances less than 500 meters.
- Jorge's average speed is 5.5 meters per second for distances greater than 500 meters.
- Alex can finish the 1500-meter race in 4 minutes 25 seconds.
- A lap around the track is 400 meters.

Based on the running data, calculate how long it should take Jorge to complete the 1500-meter race at his average speed for that distance. Enter the number of seconds, rounded to the nearest tenth, in the response box.

Seconds: [tex]$\square$[/tex]

Question

High School

Answer :

sqdancefan sqdancefan · Answer 1 · 2023-10-13T11:43:33-04:00

Answer:

272.7 seconds

Step-by-step explanation:

You want Jorge's time for a 1500 m race if he runs that distance at 5.5 m/s.

The relation between time, speed, and distance is ...

[tex]\text{time}=\dfrac{\text{distance}}{\text{speed}}[/tex]

For the given distance and speed, Jorge's time is expected to be ...

[tex]t=\dfrac{1500\text{ m}}{5.5\text{ m/s}}\approx\boxed{272.7\text{ s}}[/tex]