Josie hikes at 2 and 3/4 miles per hour. how long will it take her to hike 9 and 5/8 miles?

First, let's convert the givens to decimals to make calculations easier:
2 (3/4) = 2.75
9(5/8) = 9.625

We are given that:
Josie can hike 2.75 miles in one hour.
To know the time that Josie would take to hike 9.625 miles, we will simply do cross multiplication as follows:
2.75 miles > 1 hour
9.625 miles > ?? hours

Time = (9.625*1) / (2.75) = 3.5 hours

The answer to that is 6