I think you are mixing up your Minimums and your Maximums; and your
Drag and your Distances.
For maximum time in air for a given amount of fuel.
V Min Power = V Min Drag = V Max Endurance = The speed corresponding
to the lowest point on a Speed vs Drag Curve.
For maximum distance flown for a given amount of fuel.
V Max Distance is always slightly higher than V Min Drag and is the speed
corresponding to where the Tangent touches the Speed vs Drag Curve.
Sorry, do not know how to attach images (of a V/D curve) which would
easily illustrate this.