SOLUTION: An airplane flew 3.5 hours with a 60 mph headwind. The return trip with the same speed took 2.5 hours. Find speed of the plane in still air.

Algebra ->  Customizable Word Problem Solvers  -> Travel -> SOLUTION: An airplane flew 3.5 hours with a 60 mph headwind. The return trip with the same speed took 2.5 hours. Find speed of the plane in still air.      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 626454: An airplane flew 3.5 hours with a 60 mph headwind. The return trip with the same speed took 2.5 hours. Find speed of the plane in still air.
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
An airplane flew 3.5 hours with a 60 mph headwind. The return trip with the same speed took 2.5 hours. Find speed of the plane in still air.
-----
Against-wind DATA:
time = 3.5 hrs ; rate = p - 60 mph ; distance = r*t = 3.5(p-60) miles
-----
With-wind DATA:
time = 2.5 hrs ; rate = p+60 mph ; distance = r*t = 2.5(p+60) miles
----
Equation:
distance = distance
3.5p - 195 = 2.5p + 150
p = 345 mph (speed of the plane in still air)
==================
Cheers,
Stan H.
===================