Suppose p varies as the sum of two quantities of which one varies directly as q and the other inversely as q. If p = 11 when q = 2 and p = \(25\frac{2}{5}\) when q = 5, then which of the following is true?
1
p = 5q - \(\frac{2}{q}\)
2
p = 10q - \(\frac{2}{q}\)
3
p = 10q + \(\frac{2}{q}\)
4
p = 5q + \(\frac{2}{q}\)