SOLUTION: I'm not sure how to set up the following problem: It takes 1.5 hrs to fly 600km against the wind. The return trip with the wind takes only 1hr. Find the total flying time for the r

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: I'm not sure how to set up the following problem: It takes 1.5 hrs to fly 600km against the wind. The return trip with the wind takes only 1hr. Find the total flying time for the r      Log On


   

Question 275377: I'm not sure how to set up the following problem: It takes 1.5 hrs to fly 600km against the wind. The return trip with the wind takes only 1hr. Find the total flying time for the round trip if there was no wind.
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
It takes 1.5 hrs to fly 600km against the wind.
distance = 600 km ; time = 1.5 hrs ; rate = 600/1.5 = 400 km/hr
---------------------------------------
The return trip with the wind takes only 1hr.
distance = 600 km ; time = 1 hr. ; rate = 600 km/hr
---------------------------------------
Find the total flying time for the round trip if there was no wind.
----------------
Find rate of the plane in still air:
p + w = 600 km/hr
p - w = 450 km/hr
---------------------
2p = 1050
p = 525 km/hr (speed of the plane in still air)
-----
Flying time for the round trip with no wind:
time = distance /rate
time = 1200 km/525 km/hr = 2.286 hrs = 2 hr (0.286)60 min = 2 hr 17 min
==========================================================================
Cheers,
Stan H.