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A Train in Trouble

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One hour out of the station, a train engine develops trouble that slows the train to 3/5 of its average speed up to the time of the failure. Continuing at this reduced speed, it reaches its destination two hours late. Had the trouble occurred 50 miles beyond; the delay would have been reduced by 40 minutes. Find the distance from the station to the destination.

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The expert examines a train in trouble. The distance from the station to the destination is determined. A complete, neat and step-by-step solution.

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One hour out of the station, a train engine develops trouble that slows the train to 3/5 of its average speed up to the time of the failure. Continuing at this reduced speed, it reaches its destination two hours late. Had the trouble occurred 50 miles beyond; the delay would have been reduced by 40 minutes. Find the distance from the station to the destination.
Let the normal speed ...

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