If you have 24 hours to spend in Medway, there are several things you could do:
1. Visit Rochester Castle and Cathedral - You can easily spend a few hours exploring the castle and cathedral, getting to know their history and enjoying the views.
2. Walk along the River Medway - A stroll along the river can provide a relaxing break from the busy town center. You can witness the most attractive sight in England, called Riverside Country Park.
3. Explore the Historic Dockyard Chatham - A great way to learn about the naval history of the area. The dockyard provides an immersive experience that can take up to half a day.
4. Visit the Guildhall Museum - This small museum has an impressive collection of local artifacts. You can take a quick tour in an hour or so.
5. Take the Medway river tour - This is excellent way to obtain a different perspective of some of the town's key sights, and it takes less than an hour to complete.
Overall, you can cover most of these sites easily in a day, but you may want to choose carefully to prevent rushing to see everything.