anonymous
  • anonymous
An airplane flies 1200 miles into the wind in 3 hours. The return trip takes 2 hours. Find the speed of the airplane without a wind and the speed of wind.
Mathematics
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anonymous
  • anonymous
An airplane flies 1200 miles into the wind in 3 hours. The return trip takes 2 hours. Find the speed of the airplane without a wind and the speed of wind.
Mathematics
jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
from what is given in your question, we have the following two equations: \[\nu_{plane}-\nu_{air}={1200 miles \over 3 hours}=400mph \rightarrow(1)\] \[v_{plane}+v_{air}={1200 miles \over 2 hours}=600mph\] solve the two equation to find both velocities
anonymous
  • anonymous
adding equation (1) and (2), we get: \[2\nu_{plane}=1000 mph \implies \nu_{plane}=500mph\] substitute in either equation (1) by v_plane=500, you get: \[500-\nu_{air}=400mph \implies \nu_{air}=100mph\]
anonymous
  • anonymous
does that make sense to you?

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anonymous
  • anonymous
Try www.aceyourcollegeclasses.com
anonymous
  • anonymous
yes it does. thank you very much
anonymous
  • anonymous
Try www.aceyourcollegeclasses.com
anonymous
  • anonymous
you're welcome

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