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Question Light travels at a speed of 299,792 kilometers per second. What is the speed of light, in miles per minute? (Round your answer to the nearest thousand) Note: There are 1.609 kilometers in a mile.

Ask by Owen Tran. in the United States
Feb 03,2025

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Answer

The speed of light is approximately 11,179,000 miles per minute.

Solution

To convert the speed of light from kilometers per second (km/s) to miles per minute (mi/min), follow these steps: 1. **Given Data:** - Speed of light = 299,792 km/s - Conversion factors: - 1 mile = 1.609 kilometers - 1 minute = 60 seconds 2. **Convert Kilometers to Miles:** \[ \text{Speed in miles per second} = \frac{299,792 \text{ km/s}}{1.609 \text{ km/mile}} \approx 186,321.94 \text{ mi/s} \] 3. **Convert Seconds to Minutes:** \[ \text{Speed in miles per minute} = 186,321.94 \text{ mi/s} \times 60 \text{ s/min} \approx 11,179,316 \text{ mi/min} \] 4. **Round to the Nearest Thousand:** \[ 11,179,316 \text{ mi/min} \approx 11,179,000 \text{ mi/min} \] **Final Answer:** The speed of light is approximately **11,179,000 miles per minute** when rounded to the nearest thousand.

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To convert the speed of light from kilometers per second to miles per minute, start by converting kilometers to miles using the conversion factor. 299,792 kilometers per second divided by 1.609 gives you approximately 186,282 miles per second. Next, multiply that by 60 seconds to find the speed in miles per minute, which equals about 11,176,920 miles per minute. Rounding this to the nearest thousand gives you 11,177,000 miles per minute! Fun fact: The speed of light is so fast that it could circle the Earth over 7 times in just one second! Imagine sending a message at light speed; it would reach its destination almost instantly! Isn’t that mind-blowing?

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