Ryan Left The science Museum and drove south Gabriella left three hours later driving 42 km/h faster in an effort to catch up to him . after two hours Gabriella finally caught up find ryans average speed

Ryan time = t

Gabriella time = t-3 = 2 hours so t = 5
Ryan speed = s
Gabriella speed = s+42
same distance
distance = speed * time
s t = (s+42)(t-3)
s(5) = (s+42)(2)
3 s = 84
s = 84/3 = 28 km/hr

28

7.89

where the heck do you get the 3 from though? I officially got 16.8 as the result because I left the 5 with the s and had something like this. 5s=84. the divided 5 by both sides you know how it do. Then I got s=16.5. So all I have to ask is what happened to the original plot in the movie??

Nevermind I git it cause imma G

To find Ryan's average speed, we need to connect the information given and use the concept of relative speed.

Let's assume that Ryan's average speed is represented by "r" km/h.

Since Gabriella left 3 hours later, we can say that she traveled for (2 + 3) = 5 hours to catch up to Ryan.

During these 5 hours, Gabriella was driving 42 km/h faster than Ryan, so her speed can be represented as (r + 42) km/h.

Now, since both Ryan and Gabriella drove the same distance when Gabriella caught up to him, we can write the equation:

Distance = Speed × Time

For Ryan: Distance = r km/h × 5 hours
For Gabriella: Distance = (r + 42) km/h × 2 hours

Since they both traveled the same distance, we can set up an equation:

r × 5 = (r + 42) × 2

Simplifying the equation:

5r = 2r + 84

Subtracting 2r from both sides:

3r = 84

Dividing both sides by 3:

r = 28

Therefore, Ryan's average speed is 28 km/h.