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Daily Brain Teaser / Puzzle
August
28, 2010
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Kate and Shireen have completed their model of the solar system. The model looks great hanging in the classroom. But before they can get a grade for their project, their teacher has one more assignment for them. "We know," she says, "that you had to use one scale for planet sizes and a much smaller scale for showing distances of the planets from the sun. If you had used the larger scale for the distances, your model would not have fit in the classroom, because the distances are so immense. Can you show the class just why the model wouldn't have fit? If you had used the same scale for distance that you used for planet sizes, how far from your model sun would Pluto have to be placed?" Well, for the planet sizes the girls had used a pea measuring 0.5 cm in diameter for their model of Mercury. The real Mercury has a diameter of 4800 km. The real Pluto is nearly 5900 x 106 kilometers from the sun. How far, in miles, from their model sun would Kate and Shireen have had to place a model of Pluto?

VIEW SOLUTION BELOW

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THE SOLUTION

They would have had to place the model about 3.8 miles away!

 

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