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