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Chapter 9: Problem 56

Use unit fractions to express 100 miles per hour in feet per second.

Short Answer

Expert verified
100 miles per hour is equivalent to 146.67 feet per second.

Step by step solution

01

Express Speed in miles per second

First, convert the given speed from miles per hour to miles per second. There are 3600 seconds in an hour, so divide by 3600: \( \frac{100 \text{ miles}}{1 \text{ hour}} = \frac{100 \text{ miles}}{3600 \text{ seconds}} \)
02

Convert Miles to Feet

Next, convert miles to feet. There are 5280 feet in a mile, so multiply the above fraction by this conversion factor: \( \frac{100 \text{ miles}}{3600 \text{ seconds}} = \frac{100 \times 5280 \text{ feet}}{3600 \text{ seconds}} \)
03

Simplify the Fraction

Finally, simplify the fraction to get the speed in feet per second: \( \frac{100 \times 5280 \text{ feet}}{3600 \text{ seconds}} = 146.67 \text{ feet per second} \)

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