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For The Mathematically Inclined

Anil Saigal

Problem 1:

Earth takes 365 days to orbit around the Sun and Mars takes 687 earth days to orbit around Sun. If Sun, Earth, and Mars are in a straight line of Feb 25, 2021 when will they be co-linear next time?  Assume circular orbits for Earth and Mars.

Problem 2:
Let's add Venus to the mix.  If  say, Venus, Earth, Mars, and Sun were aligned today (February 25, 2021), when will they align again? Venus takes 225 days to orbit around the Sun. Assume circular orbit for Venus too. 

Interested to solve more space related math challenges, visit Jet Propulsion Lab Problem Site - https://www.jpl.nasa.gov/edu/teach/tag/type/Problem+Set


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Problems from M-02/11/21

Problem 1:
If Dev drive half-way to the city at 30 miles/hour, how fast does Dev have to go for the rest of the way to make the average speed for the entire journey of 60 miles/hour?

Problem 2:
A girl, a boy, and a dog are walking down a road together. The boy walks at 5 miles/h, and is just behind the girl who walks at 6 miles/h. The dog runs from boy to girl and back again with a constant speed of 8  miles/h. The dog does not slow down on the turn.

How far does the dog travel in 1 hour?

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