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.