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Simple Riddle

 
 
Reply Thu 13 Aug, 2009 05:28 am
An air-fighter pilot takes off from his base on Equator at sunrise. According to his flight plan, he is supposed to fly at flying height 10 000m. At what speed should he fly in order to stay always at the same light zone (for our pilot it will always look like dawn)? Put your answer as integer number. The value is in km/h.
 
View best answer, chosen by rohtarantula
oolongteasup
 
  1  
Reply Thu 13 Aug, 2009 08:23 pm
@rohtarantula,
38 39 46 51 11 12 10 6
oolongteasup
 
  1  
Reply Thu 13 Aug, 2009 08:51 pm
@oolongteasup,
so you just ask , get the answer and don't return to confirm or deny, huh

the circumference of the plane's orbit is 102, 907 km

i'd go one twenty fourth that fast per hour if i were you
rohtarantula
 
  1  
Reply Fri 14 Aug, 2009 04:26 am
@oolongteasup,
Not right,keep trying.
0 Replies
 
TokyoJunkie
  Selected Answer
 
  3  
Reply Mon 31 Aug, 2009 07:01 am
@rohtarantula,
I suspect I'm missing something, but here goes nothing ...

The earth has an equatorial diameter of 12,756.2 km, and we add 20 km to that to get the net diameter of the plane's "orbit," which is 12,776.2 km. Multiply by pi to get ~40137.6 km of circumference. Now, there are no special tricks involved; the sun moves through the sky at around 15 degrees of arc (or 15x the diameter of its disc) per hour. Therefore, it illuminates the surface of the earth at the equator at 15 degrees of longitude per hour. 360/15 = 24, so we divide the circumference of the "orbit" by 24 to get a speed of 1,672 kph, or about mach 1.4.

Of course, as I said, this riddle seems deceptively simple, so I will not be surprised at all if I'm way off in my reasoning. Your thoughts?
0 Replies
 
ksiyani
 
  1  
Reply Wed 11 Nov, 2009 07:31 am
@rohtarantula,
There would not be an airbase on the equator??
0 Replies
 
 

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