SAT I 一日一问:2012年12月24日

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The Correct answer is C.

Explanation

Let t represent the time it took the woman to drive to work. Since her total traveling time was 1 hour, the time it took her to return home is 1 minus t. The distance in miles can be found using the formula distance = (rate) times (time). The distance traveled to work is 40 times t, and the return distance is 30 times (1 minus t). Since the distance to work is the same as the return distance, 40 times t = 30 times (1 minus t). Solving for t yields t = (3 over 7). So the distance one way is 40 times (3 over 7) = (120 over 7) = 17 times (1 over 7) miles. The total number of miles in the round trip is 2 times (17 times (1 over 7)), or 34 times (2 over 7) miles.

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