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Toy train tracks — matching carriages to a connector

A toy train is timed along two straight display tracks that both start at the same post and end at the same finishing post, so the two tracks are exactly the same length. The first track is made of 8 identical toy carriages joined end to end with no gaps. The second track is made of 5 of the same identical carriages joined end to end, plus a straight connector piece 63 cm long to reach the finishing post. Find the length of one carriage.

Opening the drawing…

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