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2006 Portugal MO
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2006 Portugal MO
Problems
(1)
two men wlak as train passes
Source: Portugal OPM 2006 p1
5/19/2024
Alexandre and Herculano are at Campanha station waiting for the train. To entertain themselves, they decide to calculate the length of a freight train that passes through the station without changing its speed. When the front of the train passes them, Alexandre starts walking in the direction of the train's movement and Herculano starts walking in the opposite direction. The two walk at the same speed and each of them stops at the moment they cross the end of the train. Alexandre walked
45
45
45
meters and Herculano
30
30
30
. How long is the train?
algebra