algebra

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A train can travel 280 miles in the same time that it takes a car to travel 140 miles. If the train's rate is 40 miles per hour faster than the cars, find the average for each.

  • algebra -

    Distance D = Rate R * Time T
    T = D/R

    R = rate for car
    R + 40 = rate for train
    140/R = time for car
    280/(R + 40) = time for train

    Times are equal
    280/(R + 40) = 140/R
    Cross multiply and solve for R, rate for car

    R + 40 = rate for train

  • algebra -

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