A cyclist can travel 17.6 feet per second. The cyclist would have a better understanding of her speed if it were measured in miles per hour. Which of these completes the expression used to convert the speed of the cyclist to miles per hour?
60 minutes/1 hour = 5280 feet/1 mile
To convert the cyclist's speed from feet per second to miles per hour, it is essential to establish the relationship between minutes and hours as well as the conversion factor between feet and miles. The correct expression captures this relationship accurately.
This choice incorrectly states the time conversion. There are 60 seconds in a minute, not an hour, making this conversion invalid. Furthermore, while it includes the correct distance conversion of miles to feet, the time component is misrepresented.
This option correctly identifies the time conversion from minutes to hours but incorrectly places the mile-to-feet conversion in the denominator. This format does not facilitate the necessary multiplication for speed conversion, making it ineffective for the required calculation.
This choice correctly establishes the time conversion factor and appropriately places the feet-to-mile conversion ratio. By using this expression, one can convert the speed from feet per second to miles per hour accurately, making it the right answer for this question.
While this option correctly converts inches to feet, it is irrelevant to the conversion of speed from feet per second to miles per hour. The relationship between minutes and hours is also mentioned but does not contribute to the required conversion for this problem.
To convert the cyclist's speed from feet per second to miles per hour, it is crucial to use the correct ratios for both time and distance. The expression 60 minutes/1 hour = 5280 feet/1 mile effectively captures the necessary conversions, allowing for a straightforward calculation of speed. The other options fail to establish the correct relationships or contain inaccuracies that render them unsuitable for this conversion.
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