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Direction for questions: Answer the questions based on the following information. A series $S_{1}$ of five positive integers is such that the third term is half the first term and the fifth term is $20$ more than the first term. In series $S_{2}$, the $n$th term defined as the difference between the $(n+1)$ term and the $n^{th}$ term of series $S_{1}$, is an arithmetic progression with a common difference of $30$.

What is the difference between second and fourth terms of $S_{1}$?

1. $10$
2. $20$
3. $30$
4. $60$

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