Respuesta :
Answer:Ryan's average speed is 28km/h
Step-by-step explanation:
Let x represent the average speed of Ryan. If Gabriella drove 42 km/h faster in an effort to catch up to Ryan, It means that Gabriella's speed is x + 42
At the time that Gabriella finally caught up with Ryan, both of them would have travelled equal distances.
Distance travelled = speed × time
time = distance/ speed.
If Gabriella left three hours later and caught up with Ryan in two hours time, it means that total time spent by Ryan is 3+2 = 5 hours
Total distance covered by Ryan would be
x × 5 = 5x km
Total distance covered by Gabriella would be
2(x + 42) = 2x + 84
Since both of them cover equal distances, therefore,
5x = 2x + 84
5x - 2x = 84
3x =84
x = 84/3 = 28 km/h
Speed, distance, and time all are in a relationship with each other. The speed of Ryan is 16.8 km/h.
What is the relation between speed, distance, and Time?
We know that speed, distance, and time all are in a relationship with each other. This relationship can be given as,
[tex]\rm Speed = \dfrac{Distance}{Time}[/tex]
As it is given that the speed of Gabriella is 42km/h, while the time needed by him to catch Ryan is 2 hours. Therefore, the distance travelled by Gabriella can be written as,
[tex]\rm Speed=\dfrac{Distance}{Time}[/tex]
Substituting the values, we will get,
[tex]\rm 42\ km/h=\dfrac{Distance}{2}\\\\Distance = 84\ km[/tex]
Now, we know that the distance travelled by Ryan and Gabriella is the same which is 84 km, while the time taken by Gabriella is 5 hours(3+2).
Thus, the speed of Ryan can be written as,
[tex]\rm Speed=\dfrac{Distance}{Time}[/tex]
Substituting the values, we will get,
[tex]\rm Speed=\dfrac{84}{5}\\\\Speed= 16.8\ km/h[/tex]
Hence, the speed of Ryan is 16.8 km/h.
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