An engine pulls four identical carriages. The engine is the length of 2/3rd the length a carriage and the total length of the train is 86.8 m. Find the length of the engine.
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I assume you meant that the total length of the train is 86.8m.
Let ’n’ be the length of a carriage.
Then the length of the engine is (2/3)n.
4n+(2/3)n = 86.8
(14/3)n = 86.8
n =18.6. (2/3)n = 12.4.
Each carriage is 18.6 meters long.
The engine is 12.4 meters long.
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