# 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 -

80

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