In a marathon race, Chad is out in front, running due north at a speed of 4.09 m/s. John is 94 m behind him, running due north at a speed of 4.28 m/s. How long does it take for John to pass Chad?
C runs 4.09 t meters
C runs 4.28 t meters
4.28 t - 4.09 t = 94
To find out how long it takes for John to pass Chad in the marathon race, we need to determine the time it takes for John to cover the distance between him and Chad.
First, let's calculate the relative velocity between John and Chad. Since they are both running due north and John is behind Chad, we subtract their velocities:
Relative velocity = John's velocity - Chad's velocity
Relative velocity = 4.28 m/s - 4.09 m/s
Relative velocity = 0.19 m/s
This means that John is gaining on Chad at a speed of 0.19 m/s.
Now we can calculate the time it takes for John to cover the distance of 94 m between them. We can use the formula:
Time = Distance / Relative velocity
Time = 94 m / 0.19 m/s
Time ≈ 494.74 seconds
Therefore, it takes approximately 494.74 seconds for John to pass Chad in the marathon race.