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

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) (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.
RELATED QUESTIONS
An airplane takes hours to travel a distance of against the wind. The return trip takes (answered by stanbon)

It takes an airplane 4 hours to travel 1000 miles with a tail wind. It takes the plane 5... (answered by math_helper,ikleyn)

An airplane takes 3 hours to travel a distance of 2160 miles with the wind. The return... (answered by mananth)

An airplane takes 3 hours to travel a distance of 1680 miles with the wind. The return... (answered by lwsshak3)

An airplane takes 3 hours to travel a distance of 1680 miles with the wind. The return... (answered by mananth)

an airplane takes 5 hours to travel a distance of 4200 miles with the wind. The return... (answered by Boreal)

An airplane takes 6 hours to travel a distance of 5400km against the wind. The return... (answered by stanbon)

An airplane flying with the wind takes 4 hours to travel a distance of 1280 miles. The... (answered by ikleyn)