Adam, Bill, and Chris simultaneously start from City \(A\) to City \(B.\) Adam reaches City \(B\) first, then turns back

[BTGmoderatorLU]

Adam, Bill, and Chris simultaneously start from City \(A\) to City \(B.\) Adam reaches City \(B\) first, then turns back and meets Bill at a distance of \(9\) miles from City \(B.\) When Bill reaches City \(B,\) he too turns back and meets Chris at a distance of \(7\) miles from City \(B.\) If three times the speed of Adam is equal to five times Chris' speed, what could be the distance between the City \(A\) and City \(B?\)

A. \(40\) miles
B. \(35\) miles
C. \(63\) miles
D. \(90\) miles
E. \(120\) miles

The OA is C