Bunuel wrote:
Kelly took three days to travel from City A to City B by automobile. On the first day, Kelly traveled 2/5 of the distance from City A to City B and on the second day, she traveled 2/3 of the remaining distance. Which of the following is equivalent to the fraction of the distance from City A to City B that Kelly traveled on the third day.
A) \(1 - \frac{2}{5} - \frac{2}{3}\)
B) \(1 - \frac{2}{5} - \frac{2}{3}(\frac{2}{5})\)
C) \(1 - \frac{2}{5} - \frac{2}{5}(1 - \frac{2}{3})\)
D) \(1 - \frac{2}{5} - \frac{2}{3}(1 - \frac{2}{5})\)
E) \(1 - \frac{2}{5} - \frac{2}{3}(1 - \frac{2}{5} - \frac{2}{3})\)
We are given that Kelly traveled 2/5 of the distance from City A to City B and 2/3 of the remaining distance on the second day. So she traveled 2/3(1 - 2/5) of the distance on the second day and thus on the third day, the fraction of the distance she needs to travel was:
1 - 2/5 - 2/3(1 - 2/5)
Answer: D
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