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Kimberly drives at a rate of 50 miles per hour on her trip across the country. If it takes Kimberly 200 gallons of gasoline to drive 500 miles, how many minutes will it take her to use x gallons of gasoline if she uses gasoline at the same average rate of consumption?

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sqdancefan

Answer:

  3x minutes

Step-by-step explanation:

Kimberly desperately needs a more fuel-efficient vehicle. Her usage rate is ...

  (50 mi/h)(200 gal)/(500 mi) = 20 gal/h = 20 gal/(60 min) = 1/3 gal/min

Using gasoline at the rate of 1/3 gal/min, her time for x gallons is ...

  (x gal)/(1/3 gal/min) = 3x min

It will take 3x minutes for Kimberly to use x gallons at the same rate.

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