In a marathon race, Chad is out in front, running due north at a speed of 3.92 m/s. John is 92 m behind him, running due north at a speed of 4.33 m/s. How long does it take for John to pass Chad?
John's speed is 0.41m/s faster than Chad's
Since he is 92m behind, it will take him 92/.41 = 224.4 seconds to catch up.
To solve this problem, we need to determine the time it takes for John to catch up with Chad. We can start by finding the relative speed between John and Chad.
The relative speed is the difference between their speeds:
Relative speed = John's speed - Chad's speed
Relative speed = 4.33 m/s - 3.92 m/s
Relative speed = 0.41 m/s
Now, we can calculate the time it takes for John to close the 92 m gap between them. We can use the formula:
Time = Distance / Speed
Time = 92 m / 0.41 m/s
Time = 224.39 seconds
Therefore, it will take John approximately 224.39 seconds to pass Chad.