Answer:
8 in.
Step-by-step explanation:
Multiples of 3 plus 1 remainder are:
3n+1
Multiples of 4 plus 1 remainder are:
4n+1
Since these multiples must be the same number must be a multiple of 12 plus a remainder of one, which is:
12n+1
And the smallest such three digit number is:
12n+1>99 subtract 1 from both sides
12n>98 divide both sides by 12
n>8.17
Since n must be an integer, n=9
So then number is 12n+1
12(9)+1=109
You multiply all of them and you get 272!
Check the Wronskian determinant:

The determinant is not zero, so the solutions are indeed linearly independent.
I think you want to convert it all to feet.
1 mile = 5,280 feet
2 miles = 5,280 × 2
5,280 × 2 = 10,560 feet
10,560 + 500 = 11,060 feet
2 miles and 500 feet is equal to 11,060 feet