Answer :

To find out how many miles Dylan has driven when he is [tex]\(\frac{3}{10}\)[/tex] of the way through his journey, follow these steps:

1. Identify the total distance of the journey:
- The total distance from Penzance to Dundee is 624 miles.

2. Determine the fraction of the journey Dylan has completed:
- The fraction is [tex]\(\frac{3}{10}\)[/tex].

3. Calculate the distance driven:
- Multiply the total distance by the fraction of the journey completed:
[tex]\[ \text{Miles driven} = 624 \times \frac{3}{10} \][/tex]

4. Perform the multiplication to find the exact distance:
- Simplifying the multiplication:
[tex]\[ \text{Miles driven} = 624 \times 0.3 \][/tex]

5. Obtain the result:
- The result of this calculation is 187.2.

Therefore, Dylan has driven 187.2 miles when he is [tex]\(\frac{3}{10}\)[/tex] of the way through his journey.