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Brain teaser for the week 20200912 每周烧次脑

Dr Gruber, Duo 宝安外语协会 2020-10-20

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Difficulty level: ✮ ✮   ✮


In this diagram, where a circle is inscribed in a square and another square is inscribed in the circle, if a side of the larger square is 10, what is the area of the smaller square? 


 

 

 



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Answer to the last week 上期答案 Brain teaser for the week 20200905 每周烧次脑


(a)6


You need to use the formula Rate × Time = Distance, that is r × t = d.  


For the uphill trip,

r (uphill) × t (uphill) = 1 mile 


For the downhill trip,

r (downhill) × t (downhill) = 1 mile


The average rate of the car is the total distance traveled (2 miles) divided by the total time traveled, t (uphill) + t (downhill).


Since the average rate was given as 20 mph, 20 = 2 divided by [t(uphill)+t(downhill)]. 


Thus, we get 10=t(uphill)+t(downhill).



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