SAT Math Multiple Choice Question 408: Answer and Explanation

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Question: 408

3. Mount Fuji in Japan was first climbed by a monk in 663 AD and subsequently became a Japanese religious site for hundreds of years. It is now a popular tourist site. When ascending the mountain, tourists drive part of the distance and climb the rest of the way. Suppose a tourist drove to an elevation of 2,390 meters and from that point climbed to the top of the mountain, and then descended back to the car taking the same route. If it took her a total of 7 hours to climb up and back down, and she climbed at an average rate of 264 vertical meters per hour going up and twice that going down, approximately how tall is Mount Fuji?

  • A. 1,386 meters
  • B. 3,622 meters
  • C. 3,776 meters
  • D. 5,172 meters

Correct Answer: B

Explanation:

B

Difficulty: Medium

Category: Problem Solving and Data Analysis / Rates, Ratios, Proportions, and Percentages

Here is the solution.

If the distance from that 2,390 meters point to the top of the mountain is x, then

up 264, x/264

dwn 528, x/528

(x/264) + (x/528) =7 hours

3x = 7(528)

x=1232

so we then have to add 2390. So 2390 + 1232= 3622 meters

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