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Chapter 1: Problem 51

Car speed in many countries is measured in kilometers per hour. In the United States, car speed is measured in miles per hour. To convert between these units, use the fact that 1 mile equals \(1.609\) kilometers. (a) The speed limit on many U.S. highways is 55 miles per hour. Convert this number into kilometers per hour. (b) The recommended speed limit on German highways is 130 kilometers per hour. Convert this number into miles per hour.

Short Answer

Expert verified
55 mph is about 88.5 km/h, and 130 km/h is about 80.84 mph.

Step by step solution

01

Understand the Conversion Factor

To convert from miles to kilometers, multiply by the factor of conversion, which is given as 1 mile = 1.609 kilometers. Conversely, to convert from kilometers to miles, divide by 1.609.
02

Convert 55 mph to km/h

Use the conversion factor: 55 miles per hour is equivalent to \( 55 \times 1.609 \) kilometers per hour. Multiply these numbers to find the speed in km/h.
03

Perform the Calculation for 55 mph

Calculate \( 55 \times 1.609 = 88.495 \) km/h. Thus, 55 mph is approximately 88.495 km/h.
04

Convert 130 km/h to mph

Use the conversion factor in reverse: 130 kilometers per hour needs to be divided by 1.609 to convert to miles per hour. Calculate \( \frac{130}{1.609} \).
05

Perform the Calculation for 130 km/h

Calculate \( \frac{130}{1.609} = 80.8396 \) mph. Thus, 130 km/h is approximately 80.84 mph.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Miles to Kilometers Conversion
A common need arises when traveling or working with different speed measurements. To convert miles to kilometers, remember that 1 mile equals approximately 1.609 kilometers. If an exercise asks you to convert miles per hour (mph) to kilometers per hour (km/h), multiply the given speed in mph by 1.609.
- Example: To convert 55 miles per hour to kilometers per hour: - Multiply 55 by 1.609. - The result is 88.495.
So, when you see a road sign indicating 55 mph, it translates to roughly 88.495 km/h. This conversion is particularly useful for travelers or anyone dealing with international vehicle specifications.
Understanding this concept ensures you can seamlessly navigate through countries with varying speed units.
Speed Limit Conversion
Speed limits vary from country to country, affecting how we comprehend speed while driving. In the U.S., speed is often measured in miles per hour, while many other countries, including those in Europe, use kilometers per hour. Being able to convert speed limits accurately allows consistent compliance with traffic laws wherever you are.
Suppose you encounter a speed limit of 55 miles per hour in the U.S. In kilometers per hour, this is achieved by multiplying by the conversion factor 1.609, resulting in about 88.495 km/h.
Conversely, a recommended speed limit of 130 km/h on German highways can be converted to mph by dividing by 1.609, giving you an approximate value of 80.84 mph.
Fast, accurate conversion techniques can prevent speeding fines and enhance safety on international roads.
Kilometers to Miles Conversion
Converting kilometers to miles is often necessary within the context of travel, automotive industries, and international business. The basic idea is quite simple: take the speed in kilometers per hour and divide by 1.609 to find the equivalent speed in miles per hour.
- Example: Suppose a German highway suggests a speed of 130 km/h. - Divide 130 by 1.609. - You get an approximate result of 80.84 mph.
This conversion becomes crucial for drivers moving from one country to another with different measurement standards.
Mastering this calculation boosts your ability to make quick, informed decisions concerning speed limits, enhancing both road safety and legal compliance.

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