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Ratios, rates, proportional relationships, and units SAT question

Math · Problem-Solving and Data Analysis · Medium · Answer it here, explanation included.

Which of the following speeds is equivalent to 90 kilometers per hour? (1 kilometer = 1,000 meters)

ExplanationShow

Choice A is correct. Since 1 kilometer is equal to 1,000 meters, it follows that 90 kilometers is equal to 90 times 1,000, equals 90,000 meters. Since 1 hour is equal to 60 minutes and 1 minute is equal to 60 seconds, it follows that 1 hour is equal to 60 times 60, equals 3,600 seconds. Now the fraction 90 kilometers over 1 hour is equal to the fraction 90,000 meters over 3,600 seconds, which reduces to the fraction 25 meters over 1 second or 25 meters per second.

Choices B, C, and D are incorrect and may result from conceptual or calculation errors.

 

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