A biker increased his average speed by \(10\) miles per hour in each successive \(10\)-minute interval after the first interval. If in the first \(10\)-minute interval, his average speed was \(30\) miles per hour, how many miles did he travel in the fourth \(10\)-minute interval?
A. \(4\)
B. \(5\)
C. \(8\)
D. \(10\)
E. \(15\)
OA D