College

Jorge’s teammate thinks Jorge can finish the 1500-meter race before Alex if Jorge runs at an average speed of 5.5 meters per second for the entire race. Recall that Alex can run the 1500 meters in 4 minutes and 25 seconds. Is Jorge’s teammate correct or incorrect?

Answer :

Answer:

Jorge does not finish before Alex

Jorge's team mate is incorrect

Step-by-step explanation:

We will determine the time taken for each of the runners to complete the 1500 meter race.

The one with the shorter time will finish first

The formula for time taken is
[tex]time = \dfrac{distance}{speed}[/tex]

1. Compute time taken by Alex

This is already provided in the question

Time taken for Alex = 4 minutes 25 seconds

1 minute = 60 seconds so time in seconds

Time in seconds = 4 * 60 + 25 = 240 + 25 = 265 seconds

So Alex takes 265 seconds to finish

2. Time taken by Jorge
Jorge's speed is 5.5 m/s

Therefore Jorge's time using the speed-distance-time formula is
[tex]\dfrac{1500\;meters}{5.5 \;meters/second}[/tex]

= 272.727... seconds

To the nearest whole number this would be 273 seconds

Summary
Time taken for Alex = 265 seconds
Time taken for Jorge ≈ 273 seconds

So Alex finishes first

Jorge does not finish before Alex

Jorge's team mate is incorrect