Geographical problem

Algebra Level 3

Calculate the time taken (in minutes) for a ray of sunlight to cross a longitude

Details and assumptions:

  • There are 360 longitudes in earth
  • Earth takes 24hrs for one rotation


The answer is 4.

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1 solution

Vishal S
Jul 4, 2015

Let the time taken by a ray of sunlight to cross a longitude be x

60 x \frac {60}{x} =N.o. of longitudes crossed in an hour

N.o. of longitudes crossed in a day= 60 x \frac {60}{x} x 24

By given there are 360 longitudes in the earth

\Rightarrow 60 x \frac {60}{x} x 24 = 360

\Rightarrow x= 1440 360 \frac {1440}{360}

\Rightarrow x=4

Therefore sunlight takes 4 minutes to cross a longitude

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