Question 736793: two planes having the same airspeed depart at the same time, flying in opposite directions. one plane flies into 35mph wind, and the other flies in the same direction as the wind. After a period of time, on plane has traveled 460 m an the other has traveled 404 m. let x = airspeed of each plane ( airspeed is the same for each plane)
a) write an expression for the speed of the plane traveling into the wind.
b) Traveling with the wind
c) write an expression for the time the same plane has been in the air when it has traveled 460 m
d) what is the relationship for the times the planes have been in the air
c) write an equation modeling this relationship.
Answer by mananth(16946)   (Show Source):
You can put this solution on YOUR website! two planes having the same airspeed depart at the same time, flying in opposite directions. one plane flies into 35mph wind, and the other flies in the same direction as the wind. After a period of time, on plane has traveled 460 m an the other has traveled 404 m. let x = airspeed of each plane ( airspeed is the same for each plane)
a) write an expression for the speed of the plane traveling into the wind.
x-35 mph
b) Traveling with the wind
x+35 mph
c) write an expression for the time the same plane has been in the air when it has traveled 460 m
460/(x+35)
d) what is the relationship for the times the planes have been in the air
Times are equal
second plane time = 404/(x-35)
c) write an equation modeling this relationship.
460/(x+35)=404/(x-35)
460(x-35)=404(x+35)
460x-16100=404x+14140
56x=30240
x=540 mph
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