So a moped travels at 40km/h for part of a trip and 10km/h for the remainder. If it takes 5.75 hours to travels 185km, how far did it travel at each speed?

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  1. 40x +10(5.75 -x) = 185

    distance = rate times time for each part of the trip

    40x + 57.5 -10x = 185

    30x = 185 - 57.5

    can you finish from here? find x then find 5.75 -x

    to find the distance traveled - multiply those results by the speeds given above.

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