The peregrine falcon can reach speeds of up to 200 miles per hour while diving to catch prey, making it the fastest animal on the planet when in a dive.If a peregrine falcon dove at its maximum speed for half a mile to catch prey, how many seconds would the dive take? (Round your answer to the nearest second.)
Correct answer: D. 9
- A. 6
- B. 7
- C. 8
- D. 9
Explanation
The correct answer is 9. If x is the number of hours it will take the falcon to dive 0.5 miles, then the speed of 200 miles per hour can be used to create the proportion 200 miles/1 hour = 0.5 mile/ x hours.This proportion can be rewritten as x hours = 0.5 mile/ 200 mile hr-1, which gives x = 0.0025. There are 60 minutes in 1 hour and 60 seconds in each minute, so there are (60)(60) = 3600 seconds in one hour. Therefore, 0.0025 hour is equivalent to (0.0025 hour)(3600 seconds/1 hour) = 9 seconds.
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Quantitative reasoning applies arithmetic and basic algebra to numerical relationships, including percentages, ratios, averages, fractions, proportions, profit and loss, rates, time, work and measurement. Questions focus on translating words into equations, choosing an efficient method and checking whether the result is numerically reasonable.
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