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A train covered a certain distance at a uniform speed. If the speed of the train would have been 15 km/h more, it would have taken 1.2 hours less than the scheduled time. If the speed of the train would have been 12 km/h less, it would have taken 1.5 hours more than the scheduled time. Find the distance covered by the train.

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To solve the problem step by step, we will denote the speed of the train as \( x \) km/h and the scheduled time as \( y \) hours. ### Step 1: Set up the equations based on the problem statement. 1. **First scenario**: If the speed of the train were \( x + 15 \) km/h, it would take \( y - 1.2 \) hours. The distance covered remains the same, so we can write: \[ \text{Distance} = \text{Speed} \times \text{Time} \] ...
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