Biking Riddle

Algebra Level 2

Sam can bike from Town A to Town B in \( T \) minutes. Mike can bike the same distance in \( (\dfrac{T}{2} + 5) \) minutes. On a certain day, Sam starts biking from Town A to Town B. Mike waits 10 minutes then starts biking from Town B to Town A. They meet exactly half way between Town A and Town B. What is the value of \( T \) (in minutes) ?

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