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?


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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