ROTW 9/13/2013

gistfile1.txt

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Part A)  Last winter I found myself locked out of my house because I couldn't remember 
the 5-digit code to open the garage door. I used the following facts to get inside.

1. The second and third digits add up to 9.
2. The first digit is equal to the second digit cubed.
3. The sum of the third and fifth digits is the smallest number with exactly five divisors.
4. The fourth digit is equal to 6 times the second-to-last digit.
5. None of the digits repeat.

What was the code?

Answer:   82709

Part B) Mario is testing out a new car at the racetrack. His grandmother took it for a mile 
lap and averaged 30mph. How fast does Mario have to drive in the second lap to average 60mph 
for the two miles?

Answer:  In order to average 60 mph for two miles,  those two miles would need to be completed 
in 2 minutes.  Since his grandmother already took 2 minutes to complete the first mile,  
there is nothing Mario could do with our current understanding of physics to achieve 60 mph 
for the 2 miles.