SOLUTION: An airplane takes hours to travel a distance of against the wind. The return trip takes hours with the wind. What is the rate of the plane in still air and what is the rate of t

Algebra ->  Customizable Word Problem Solvers  -> Travel -> SOLUTION: An airplane takes hours to travel a distance of against the wind. The return trip takes hours with the wind. What is the rate of the plane in still air and what is the rate of t      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 288981: An airplane takes hours to travel a distance of against the wind. The return trip takes hours with the wind. What is the rate of the plane in still air and what is the rate of the wind?
Rate of the plane in still air:
rate of the wind:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
An airplane takes 5 hours to travel a distance of 3400km against the wind. The return trip takes4 hours with the wind. What is the rate of the plane in still air and what is the rate of the wind?
----------------------------
Against the wind DATA:
distance = 3400 km ; time = 5 hr. ; rate = d/t = 3400/5 = 680 km/hr
=============
With the wind DATA:
distance = 3400 km ; time = 4 hr. ; rate = d/t = 3400/4 = 850 km/hr
------------------------
Equations:
plane speed - wind speed = 680 km/hr
plane speed + wind speed = 850 km/hr
----------------------
2(plane speed) = 1530
plane speed = 765 km/hr
---
Substitute and solve for "wind speed":
765 + wind speed = 850
wind speed = 85 km/hr
========================================
Cheers,
Stan H.