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problem with steps of father and son

Source: 2007 Estonia Open Olympiad junior p6/10

March 27, 2020
algebra

Problem Statement

Father moves 33 steps forward just as son moves 55 steps, but this while the father takes 66 steps, the son does 77 steps. At first, father and son are together, then the son begins to walk away from his father in a straight line. When the son has done 3030 steps, the father starts to follow him. In a few steps, Dad arrives after the son?
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