\begin{tabular}{l} Four towns lie along the same road, as shown on the map below. \\ How much farther is it from Cark to Dark than from Ark to Cark? \\ Ark Bark \( 4 \frac{7}{10} \mathrm{mi} \) \\ \hline\( \frac{2}{5} \mathrm{mi} \)\end{tabular}

To find out how much farther it is from Cark to Dark than from Ark to Cark, we'll first calculate the distances involved. 1. The distance from Ark to Cark is already given as \( 4 \frac{7}{10} \mathrm{mi} \), which is the same as \( 4.7 \mathrm{mi} \). 2. The distance from Cark to Dark is the remaining distance between Cark and Dark given the total distance from Ark to Bark. Since from Ark to Bark the whole distance is \( 4.7 \mathrm{mi} + \frac{2}{5} \mathrm{mi} \), we'll first convert \( \frac{2}{5} \mathrm{mi} \) into decimal which gives \( 0.4 \mathrm{mi} \). Now, let's add the distances: \[ 4.7 \text{ mi} + 0.4 \text{ mi} = 5.1 \text{ mi (Ark to Bark)}. \] Assuming that the distance from Bark to Dark is also part of the journey, we can derive that: Total distance from Ark to Dark would be \( 5.1 \mathrm{mi} \). The distance from Cark to Dark would be: \[ (\text{Distance from Ark to Dark}) - (\text{Distance from Ark to Cark}) = 5.1 \text{ mi} - 4.7 \text{ mi} = 0.4 \text{ mi} \] Now, we just need to find how much farther it is from Cark to Dark than from Ark to Cark: \[ \text{Distance from Cark to Dark} - \text{Distance from Ark to Cark} = 0.4 \text{ mi} - 4.7 \text{ mi} = 0.4 \text{ mi} - 4.7 \text{ mi} \] However, this leads to a misunderstanding because Cark to Dark is less than Ark to Cark based on the previous calculations and logical breakdown. Final answer: The question asks for how much farther it is from Cark to Dark than from Ark to Cark. The actual result shows that Cark to Dark is less than Ark to Cark by \(4.3 \mathrm{mi}\), confirming that there was no additional distance required from Cark to Dark when considering Ark to Cark values; and the overall answer should reflect that the distance from Ark to Cark (4.7) is greater than Cark to Dark (0.4).