SOLUTION: Without any wind an airplane flies at 200 miles per hour. It travels 800 miles into the wind and then returns with the wind in a total time of 8 hours and 20 minutes. Find the av

Algebra ->  Customizable Word Problem Solvers  -> Travel -> SOLUTION: Without any wind an airplane flies at 200 miles per hour. It travels 800 miles into the wind and then returns with the wind in a total time of 8 hours and 20 minutes. Find the av      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 576149: Without any wind an airplane flies at 200 miles per hour. It travels 800 miles into the wind and then returns with the wind in a total time of 8 hours and 20 minutes. Find the average speed of the wind?
Found 2 solutions by mananth, lwsshak3:
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
Plane speed = 200 m/h
Wind speed = x m/h

against wind =200-x
with wind =200 +x

Total distance =800 miles Total Time= 8.30 hours
Time upstream + time downstream =8.3 hours

800/(200-x)+800/(200+x)=8.3
800(200 +x)+800 (200-x)=8.30(40000-X^2 )
160000+ 800x+160000-800x=332000 -8.3X^2
320000 --332000=-8.3 X^2
12000 =8.3 X^2

x=sqrt%2812000%09%2F8.3%29
x= 38.02 mph

Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
Without any wind an airplane flies at 200 miles per hour. It travels 800 miles into the wind and then returns with the wind in a total time of 8 hours and 20 minutes. Find the average speed of the wind?
**
let x = speed of the wind
200+x = speed of plane with the wind
200-x = speed of plane into the wind
Travel time = Distance/speed
800/(200-x)+800/(200+x)=8-1/3=25/3
LCD:3(200-x)(200+x)
3*800(200+x)+3*800(200-x)=25(200-x)(200+x)
2400(200+x+200-x)=25(200-x)(200+x)
2400*400=25(200^2-x^2)
divide by 25
38400=40000-x^2
x^2=1600
x=40
ans:
speed of the wind=40 mph