Sum Leak II

Let $X_1,X_2,\dots,X_{40}$ be IID random variables with $\mathbb{E}[X_1] = 2$, $\mathbb{E}\left[\dfrac{1}{S_{20}}\right] = \dfrac{1}{10}$. Define $S_n = X_1 + \dots + X_n$. Compute $\mathbb{E}\left[\dfrac{S_{40}}{S_{20}}\right]$.