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An engine pulls four identical carriages. The engine is 2/3 the length of a carriage and the total length of the train is 86.8m. Find the length of the engine.

An engine pulls four identical carriages. The engine is 2/3 the length of a carriage and the total length of the train is 86.8m. Find the length of the engine. Correct Answer 12.4m

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A state government granted licences to certain private operators to run stage carriages and contract carriages. The stage carriages could run only from one fixed point to another with fixed passengers without any right to pick up passengers en route. No such restrictions were imposed on contract carriages that were required to pay higher rates of tax than stage carriage operators. The contract carriage operators challenge the discriminatory nature of tax imposed on them. In respect of the above which one of the following is correct?
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The speed of car is S km/hr running on the road besides a railway track. If the speed of the train is (S + 144) km/hr and car is D meter distance ahead of the engine of train. The train will pass the car in 21 seconds. If the speed of the car is 60 km/hr and the speed of the train is (S + 110) km/hr. The car is (D – 240) meter distance ahead of the engine of the train and the train will pass the car in 20 seconds. The length of the train is (D + 160) m. Then, what is the value of S?
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