SOLUTION: A helicopter travels to its destination in 3 hours with a 10 mile per hour headwind. The helicopter returns the same distance traveling at the same rate in 2.5 hours, this time wit

Algebra ->  Customizable Word Problem Solvers  -> Travel -> SOLUTION: A helicopter travels to its destination in 3 hours with a 10 mile per hour headwind. The helicopter returns the same distance traveling at the same rate in 2.5 hours, this time wit      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 941479: A helicopter travels to its destination in 3 hours with a 10 mile per hour headwind. The helicopter returns the same distance traveling at the same rate in 2.5 hours, this time with a 10 mile per hour tailwind.
What is the total distance the helicopter traveled?
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
A helicopter travels to its destination in 3 hours with a 10 mile per hour headwind. The helicopter returns the same distance traveling at the same rate in 2.5 hours, this time with a 10 mile per hour tailwind.
What is the total distance the helicopter traveled?
***
let x=speed of plane with no wind
x-10=speed of plane with headwind
x+10=speed of plane with tailwind
distance=travel time*speed
..
3(x-10)=2.5(x+10)
3x-30=2.5x+25
.5x=55
x=110
x-10=100 mph (speed of plane with headwind)
distance=3*100=300
Total distance the helicopter traveled=300 miles