The shortest distance was 1.05 miles. This is because the 5 in 1.05 is in the hundredths place and there is a 0 in the tenths place. The tenths place is larger than the hundredths place and since all the other values have a number higher than 0 in the tenths place, 1.05 is the lowest.
You could roll a 6-sided die 3 times to simulate this. This is a good simulation because it has one side for each possible tool, and each roll is independent, just as selecting the tool with replacement would be.