I traveled a third of my journey at a speed of 10 kmph, the next third at 9 kmph and the remaining at 8 kmph. If I had traveled half the journey at 10 kmph and other half at 8 kmph, I would have been a minute longer on the way. What distance did I travel?

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I traveled a third of my journey at a speed of 10 kmph, the next third at 9 kmph and the remaining at 8 kmph. If I had traveled half the journey at 10 kmph and other half at 8 kmph, I would have been a minute longer on the way. What distance did I travel?