SOLUTION: Given Chicago is located at 42N and 88W and Detroit, MI is located at 42N and 83W. If the sun rises in Chicago at 6am (central standard time), when is the sun-rise time in Detroi

Algebra ->  Customizable Word Problem Solvers  -> Travel -> SOLUTION: Given Chicago is located at 42N and 88W and Detroit, MI is located at 42N and 83W. If the sun rises in Chicago at 6am (central standard time), when is the sun-rise time in Detroi      Log On

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Question 1135268: Given Chicago is located at 42N and 88W and Detroit, MI is located at 42N and 83W. If the sun rises in Chicago at 6am (central standard time), when is the sun-rise time in Detroit (eastern standard time)?
Answer by ikleyn(52803) About Me  (Show Source):
You can put this solution on YOUR website!
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The fact that both cities have same latitude facilitates calculations.

    We should not make corrections to account for the latitude difference . . . 



The difference in longitudes is 5 degrees, which is 5%2F360 of the full Earth's rotation angle.


Hence, difference in times when sunrise happens  is  5%2F360  of 24 hours,   or


    %285%2F360%29%2A24 of an hour = %285%2A24%29%2F360 of an hour = 5%2F15 of an hour = 1%2F3 of an hour = 20 minutes.


Sunrise at Detroit happens 20 minutes earlier than at Chicago, which corresponds to 6:40 of the Detroit's "eastern standard time".