Question

The moon revolves around the earth at a speed of approximately 1.02 kilometers per second. This approximate speed is how many kilometers per hour? A 60 B 61.2 C 62.5 D 3,600 E 3,672

Short answer

The correct option is E (3,672 kilometers per hour).

Step-by-step solution

- Identify the given speed

The given speed is 1.02 kilometers per second.

- Convert seconds to hours

Know that there are 3,600 seconds in one hour. To convert the given speed from kilometers per second to kilometers per hour, multiply by 3,600.

- Perform the calculation

Multiply 1.02 km/s by 3,600 to get the speed in kilometers per hour: \[ 1.02 \times 3600 = 3672 \text{ kilometers per hour} \]

- Select the correct option

From the given options A (60), B (61.2), C (62.5), D (3,600), E (3,672), the correct option that matches 3,672 kilometers per hour is E.

Key concepts

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Unit conversion is an essential skill in math, especially for tests like the GMAT. This exercise involves converting speed from kilometers per second to kilometers per hour. Knowing the relationship between different time units is crucial. There are 60 seconds in a minute and 60 minutes in an hour. Thus, there are 60 * 60 or 3,600 seconds in an hour. To convert speed from kilometers per second (km/s) to kilometers per hour (km/h), you multiply the speed by 3,600. For example, given 1.02 km/s, we calculate: \(1.02 \times 3600 = 3672 \text{ km/h}\). This conversion is fundamental for solving problems involving different units of measure.

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When calculating speed, it is vital to understand the units involved. Speed is a measure of distance traveled over time. In this exercise, the given speed is 1.02 km/s. To convert it to km/h, you need to change the time unit from seconds to hours. Knowing that there are 3,600 seconds in an hour, the conversion process involves multiplying the speed value by 3,600. Therefore, 1.02 km/s is equivalent to 3,672 km/h, as shown in the calculation: \(1.02 \times 3600 = 3672\). This demonstrates how unit conversion affects speed calculation and why understanding the basics of time and distance measurement is crucial for accurate results.

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Arithmetic operations are the basic building blocks of math problems. In this exercise, we deal with multiplication operations. First, we identify the given speed of 1.02 km/s. Then, knowing there are 3,600 seconds in an hour, we multiply both numbers together: \(1.02 \times 3600\). Multiplication is a straightforward arithmetic operation, but accuracy is vital in obtaining the correct result. In this case, the calculation equals 3,672 km/h. Practice and care with basic operations like multiplication ensure the right outcomes, especially in tests where precision matters.

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For the GMAT and other standardized tests, preparing well involves practicing problems like this one. Understanding and mastering concepts such as unit conversions and basic arithmetic operations can enhance your performance. Key strategies include:

• Regularly practicing different types of problems
• Understanding the logic behind unit conversions
• Improving speed and accuracy with arithmetic operations

Comprehensive preparation ensures you are comfortable with essential math concepts and can tackle similar problems with confidence. Practice converting units and using arithmetic operations to become proficient and perform well on test day.