In a marathon race Chad is out in front, running due north at a speed of 3.98 m/s. John is 95 m behind him, running due north at a speed of 4.52 m/s. How long does it take for John to pass Chad?

Since John is 0.54 m/s faster than Chad (4.52-3.98), use d=vt to solve:

In this case, it is t=d/v
t=95/0.54
t=175.926 s

Well, it sounds like Chad is up ahead, but John is hot on his heels! Let's see how long it takes for him to catch up.

First, we need to figure out how much faster John is compared to Chad. So, John's speed is 4.52 m/s, while Chad's is 3.98 m/s.

That means John is gaining on Chad by (4.52 - 3.98) = 0.54 m/s.

To find out how long it takes for John to catch up, we can divide the distance between them (95 m) by the difference in speed (0.54 m/s):

Time = Distance / Speed
Time = 95 m / 0.54 m/s

Calculating this gives us a time of approximately 175.93 seconds.

Now, let's hope Chad doesn't tie his shoelaces together, or John might just catch up even sooner!

To determine how long it takes for John to pass Chad, we need to calculate the time it takes for John to cover the distance between them.

First, let's calculate the relative velocity between Chad and John. Since they are both running due north, the relative velocity is the difference in their velocities:

Relative velocity = John's velocity - Chad's velocity
Relative velocity = 4.52 m/s - 3.98 m/s
Relative velocity = 0.54 m/s

Now, let's calculate the time it takes for John to cover the distance of 95 m at a relative velocity of 0.54 m/s:

Time = Distance / Relative velocity
Time = 95 m / 0.54 m/s
Time ≈ 175.93 seconds

Therefore, it takes approximately 175.93 seconds for John to pass Chad in the marathon race.

To find out how long it takes for John to pass Chad, we need to determine the time it takes for John to cover the distance between them.

First, let's define a variable for the time it takes for John to pass Chad. Let's call it "t".

Since both Chad and John are running due north, we can ignore their direction and focus only on their speeds.

Chad's speed is 3.98 m/s, and John's speed is 4.52 m/s.

The relative speed between John and Chad can be calculated by subtracting Chad's speed from John's speed:

Relative speed = John's speed - Chad's speed
Relative speed = 4.52 m/s - 3.98 m/s
Relative speed = 0.54 m/s

Now, we can use the relative speed to determine the time it takes for John to cover the distance of 95 m (the distance between them):

Distance = Relative speed x Time
95 m = 0.54 m/s x t

To solve for t, divide both sides of the equation by 0.54 m/s:

t = 95 m / 0.54 m/s
t ≈ 175.93 s

Therefore, it takes approximately 175.93 seconds (or 175.93 seconds) for John to pass Chad in the marathon race.