For a convex body $K\subset\mathbb{R}^d$ the mean distance $\Delta(K)=\mathbb{E}|X_1-X_2|$ is expected Euclidean of two independent and uniformly distributed random points $X_1,X_2\in K$. Optimal lower upper bounds for ratio between $\Delta(K)$ first intrinsic volume $V_1(K)$ $K$ (normalized width) are derived degenerate extremal cases discussed. The argument relies on Riesz's rearrangement ine...