Final answer:
The correct equation to determine the distance Ahmed drove is y = h x ((230/4.6) - 10). To find out how many more miles Maude drove than Ahmed, you calculate 230h - y, which simplifies to 180h, indicating that Maude drove 180h miles more than Ahmed. The given answer choices are incorrect.
Step-by-step explanation:
The subject in question requires creating an equation to determine the distance Ahmed drove in hours, as well as comparing it to the distance driven by Maude. To solve this, we will use the given information that Maude drives at a certain speed for 4.6 hours to cover 230 miles. Since Ahmed drives 10 miles per hour slower, we will reduce his speed by 10 miles per hour and create an equation based on the total hours driven (h).
Let's assume Maude's speed to be x miles per hour. Therefore, Ahmed's speed would be x-10 miles per hour. If Maude's speed x allows her to drive 230 miles in 4.6 hours, then x = 230/4.6.
Now we can write the equation to calculate the distance y that Ahmed drove in h hours as:
y = h × (x - 10)
Substituting Maude's speed into the equation, we get:
y = h × ((230/4.6) - 10)
To find how many more miles Maude drove than Ahmed in h hours using the equation, we subtract Ahmed's distance from Maude's distance:
Maude's distance - Ahmed's distance = 230h - y = 230h - h × ((230/4.6) - 10)
We simplify the above equation to match the given answer choices:
230h - h × (230/4.6 - 10) = 230h - 50h = 180h
Therefore, Maude drove 180h miles more than Ahmed. None of the given answer choices match this correct calculation, so all provided options are incorrect.