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After covering a distance of 30km with a...

After covering a distance of 30km with a uniform speed there is some defect in a train engine and therefore, its speed is reduced to 4/5 of its original speed. Consequently, the train reaches its destination late by 45 minutes. Had it happened after covering 18 kilometres more, the train would have reached 9 minutes earlier. Find the speed of the train and the distance of journey.

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To solve the problem step by step, we will define the variables and set up equations based on the information provided in the question. ### Step 1: Define Variables Let: - \( x \) = original speed of the train (in km/h) - \( y \) = total distance of the journey (in km) ### Step 2: Set Up the First Condition ...
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