Rate x Time = Distance problem?

Algebra Level 3

An army four miles long steadily advances four miles while a dispatch rider gallops steadily from the rear to the front, delivers a dispatch to the commanding general as he turns, and then gallops back to the rear.

How far (in miles) has the dispatch rider traveled?

Assumptions:

All speeds remain constant

Time required for the rider to turn-about once he reaches the front = zero

Time taken for rider to complete both trips = Time taken for army to march 4 miles.

artwork from: Total War: Rome II | Total War (PC game)
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