Question 648797: Please help me solve this question
its a wind current problem
it took the pilot an hour and a half to make a flight of 240 miles when flying against the headwind. The return trip took an hour and 12 minutes (the wind had not shifted nor changed its speed ) What was the speed of that wind?
please send me too an explanation please.
and thank you....
and fast if that's ok with you. thanks again ma'am/sir...
Answer by MathTherapy(10552)   (Show Source):
You can put this solution on YOUR website! Please help me solve this question
its a wind current problem
it took the pilot an hour and a half to make a flight of 240 miles when flying against the headwind. The return trip took an hour and 12 minutes (the wind had not shifted nor changed its speed ) What was the speed of that wind?
please send me too an explanation please.
and thank you....
and fast if that's ok with you. thanks again ma'am/sir...
Let the speed in still air be S, and wind speed, W
Average speed during flight, against the wind =  , or  , or  , or 160 mph. Therefore, S - W = 160 ----- eq (i)
Average speed during flight, with the wind =  , or  , or  , or 200 mph. Therefore, S + W = 200 ----- eq (ii)
S - W = 160 ------ eq (i)
S + W = 200 ------ eq (ii)
- S + W = - 160 ------ Multiplying eq (i) by - 1 ----- eq (iii)
2W = 40 ------ Adding eqs (iii) & (ii)
W, or speed of wind =  , or  mph
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