Question: Cameron's electric scooter travels 6 mph faster than Ellia's. Cameron travels 40 mi in the same time that Ellia travels 28 mi. Find the speed of each person's electric scooter.
1. **State the problem:**
We need to find the speeds of Cameron's and Ellia's electric scooters given that Cameron's speed is 6 mph faster than Ellia's and they travel different distances in the same time.
2. **Define variables:**
Let Ellia's speed be $x$ mph.
Then Cameron's speed is $x + 6$ mph.
3. **Write the time equation:**
Time taken by Cameron = Time taken by Ellia.
$$\frac{40}{x+6} = \frac{28}{x}$$
4. **Solve the equation:**
Cross multiply:
$$40 \cdot x = 28 \cdot (x + 6)$$
$$40x = 28x + 168$$
Subtract $28x$ from both sides:
$$40x - \cancel{28x} = \cancel{28x} + 168 - 28x$$
$$12x = 168$$
Divide both sides by 12:
$$x = \frac{168}{12}$$
$$x = 14$$
5. **Find Cameron's speed:**
$$x + 6 = 14 + 6 = 20$$
6. **Answer:**
Ellia's speed is $14$ mph.
Cameron's speed is $20$ mph.