2023 AMC 8 Problems/Problem 11: Difference between revisions
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Since the answers are so far apart, we just need to compute the # of figures the answer contains. So by approximating all the values for the hourly rate we have <math>\frac{300,000,000}{5 * 30 * 30} \approx \frac{300,000,000}{5000} = 60,000</math> which is <math>\boxed{\text{(C)}60,000}</math> | Since the answers are so far apart, we just need to compute the # of figures the answer contains. So by approximating all the values for the hourly rate we have <math>\frac{300,000,000}{5 * 30 * 30} \approx \frac{300,000,000}{5000} = 60,000</math> which is <math>\boxed{\text{(C)}60,000}</math> | ||
~apex304 | ~apex304 and SohumUttamchandani | ||
==Solution 2== | ==Solution 2== | ||
Revision as of 23:43, 24 January 2023
Solution 1
Since the answers are so far apart, we just need to compute the # of figures the answer contains. So by approximating all the values for the hourly rate we have 
which is 
~apex304 and SohumUttamchandani
Solution 2
miles is extremely close to 
miles. We also know that 
months is equivalent to 
hours. Now, we can calculate the speed in miles per hour, which we find is about 
.
![\[\dfrac{300,000,000}{6.5\cdot30\cdot24}=\dfrac{10,000,000}{6.5\cdot24}\\ =\dfrac{10,000,000}{13\cdot12}\\ =\dfrac{10,000,000}{156}\\ \approx\dfrac{10,000,000}{150}\\ \approx\dfrac{200,000}{3}\\ \approx60,000\]](http://latex.artofproblemsolving.com/d/1/1/d111dcd3ef78b74946385e5118a61764c56702b5.png)
~MathFun1000
Animated Video Solution
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