Put carrots, water and salt in a wide skillet with a lid. Bring to a simmer over medium-high heat.
Cover and cook for 7 to 9 minutes until the carrots are nearly tender when pierced, shaking the pan once.
Uncover and cook for 4 to 6 minutes until most of the water has evaporated. Stir gently so the bottom pieces do not stick.
Add butter, honey and pepper. Cook for 2 to 3 minutes, tossing, until the remaining liquid forms a shiny coating on the carrots.
Remove from the heat, toss with lemon juice and serve while the glaze still clings to the slices.