anonymous
  • anonymous
An airplane flying into a headwind travels 224 miles in 2 hours and 40 minutes. On the return flight, the distance is traveled in 2 hours. Find the airspeed of the plane and the speed of the wind, assuming that both remain constant.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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anonymous
  • anonymous
assume the speed of the air is v1 and the speed of the airplane is v2.. we have the following two equations: \[v2-v1=224miles/160\min\] \[v2+v1=224miles/120\min\] solve the two equations for v1 and v2
anonymous
  • anonymous
actually the speed of airspeed and the wind can't be assumed as constant value...
anonymous
  • anonymous
the speed of the airplane v2=1.63 miles/min the speed of the air v1=0.23miles/min

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anonymous
  • anonymous
Why can you not assume the that the airspeed and windspeed remain constant?
anonymous
  • anonymous
it might be right if the fraction of the air being neglected
amistre64
  • amistre64
The problem says to assume constant speeds; regardless of whether it conforms to real events :)
anonymous
  • anonymous
so then i think anwar is right...
anonymous
  • anonymous
so would you say...? plane speed = 98 mph; wind speed = 14 mph?
anonymous
  • anonymous
yes, though i may add in a few decimal places for accuracy
anonymous
  • anonymous
yes.. 1.63miles/min*60min/hour=97.8mph 0.23miles/min*60min/hour=13.8mph
anonymous
  • anonymous
Ok well thanks for helping it makes a lot more sense now! Thanks everyone!
anonymous
  • anonymous
you're welcome

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