Slight Miscalculation on our Hiking Distance

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So, in preparation for the great hiking and camping adventure my son and I recently went on, I spent several days prior to the trip planning out our hiking route along the Florida Scenic Trail. From our starting point, I calculated out the distances I wanted to cover each day, and the locations on the map that I thought would be great camping spots. Since this was my son's first backpacking adventure, and since were were carrying a lot of water in our packs, I wanted the first day to be a quick and easy hike. Boy, was I wrong on that! I somehow miscalculated the total distance, and had estimated that the hike to our first camping spot would be about 2 miles (3.2 km). In reality, it was a little less than 8 miles (12.5 km), and it took us much longer than I thought. I honestly didn't think my son would make it! At 13 years old, my son could only handle so much! At about the halfway point, he really started struggling. I was hurting too, but I had to keep pressing forward. I tried to lighten the load on my son's backpack, which helped him but added more weight to my pack. I felt bad for my son, he had to keep stopping like every 10-15 minutes to rest. Although hurting and tired, at no point did he ever want to stop! I told him that if he felt like he couldn't keep going, we would stop and set up camp for the night at whatever spot we were at. But he was determined to make it to our first designated camp spot. I felt bad that I had grossly miscalculated our total distance, but the hike was totally worth it when we reached our camping spot. The location was magnificent, and the small pond I chose as our camping spot was spring-fed, providing us a source of clean water! Once we got camp set up, we both went and jumped into the spring to cool off and ease our aching muscles. Just the chance to swim in the cold spring water made the grueling hike worth it!