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Mathematics > Standard Multiple Choice

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A woman drove to work at an average speed of 40 miles per hour and returned along the same route at 30 miles per hour. If her total traveling time was 1 hour, what was the total number of miles in the round trip?

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If t represents the time it took the woman to drive to work, then, since her total traveling time was 1 hour, the time it took her to return would be 1 minus t. Each distance (going and returning) can be expressed using distance = (rate) times (time). The distance going to work must be the same as the distance returning, so the two expressions for distance can be set equal to each other.

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