Equation shows the relationship between distance traveled (d), speed (s), and time taken (t) is:
![s = (30)/(3)\\\\s = 10\ miles\ per\ hour](https://img.qammunity.org/2021/formulas/mathematics/middle-school/ui48u6r3r0wu0j6chzvqy6qpexko06b2f0.png)
Solution:
Given that,
Alice traveled 30 miles in 3 hours
To find: Equation shows the relationship between distance traveled (d), speed (s), and time taken (t)
The speed is given by:
![Speed = (distance)/(time)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/v62hzlc8kvghgea2xf57ctbocncxfcajti.png)
From given,
Distance = d = 30 miles
Time = t = 3 hours
Therefore,
![s = (d)/(t)](https://img.qammunity.org/2021/formulas/mathematics/college/2zx1krdg61km2oh25ypb5t55j4a5wc46s6.png)
![s = (30)/(3)\\\\s = 10\ miles\ per\ hour](https://img.qammunity.org/2021/formulas/mathematics/middle-school/ui48u6r3r0wu0j6chzvqy6qpexko06b2f0.png)
Thus the equation is found and speed is calculated