SOLUTION: Hi. I have been stumbling with this one and I am happy to have found this site!! I shouldn't be having a problem, but I am--- road block!!!

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Question 274196: Hi. I have been stumbling with this one and I am happy to have found this site!! I shouldn't be having a problem, but I am--- road block!!!
- Two planes having the same airspeed depart simultaneously from the airport, flying in opposite directions. One plane flies directly into a 35mph wind, and the other flies in the same direction as the wind. After a period of time, one plane has traveled 460 miles abd the other has traveled 404 miles. Let x= the airspeed of each plane (note: this is only possible because the airspeed is the same.)
I know d=rt. I have r=x-35mph for the one going to the wind and x+35mph for the other. Do I simply go 460=35t for the one going with the wind?
I am lost here and not sure if I am thinking too much on it. Thank you for your help!!!!! rl
Found 2 solutions by stanbon, ankor@dixie-net.com:
Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website!
Two planes having the same airspeed depart simultaneously from the airport, flying in opposite directions.
------
One plane flies directly into a 35mph wind, and the other flies in the same direction as the wind.
----
After a period of time, one plane has traveled 460 miles abd the other has traveled 404 miles.
---
Let x= the airspeed of each plane (note: this is only possible because the airspeed is the same.)
---------------
Downwind DATA:
Rate: x+35 mph ; distance = 460 miles ; time = d/r = 460/(x+35) hrs.
--------------------------
Upwind DATA:
Rate: x-35 mph ; distance = 404 miles ; time = d/r = 404/(x-35) hrs.
--------------------------
Equation:
time = time
460/(x+35) = 404/(x-35)
460(x-35) = 404(x+35)
460x - 460*35 = 404x + 404*35
----
56x = 864*35
x = 540 mph
=========================
Cheers,
Stan H.

Answer by ankor@dixie-net.com(22740) (Show Source):
You can put this solution on YOUR website!
Two planes having the same airspeed depart simultaneously from the airport, flying in opposite directions.
One plane flies directly into a 35mph wind, and the other flies in the same direction as the wind.
After a period of time, one plane has traveled 460 miles and the other has traveled 404 miles.
Let x= the airspeed of each plane (note: this is only possible because the airspeed is the same.)
:
Here is how I would do it.
:
Both planes travel time is the same, write a time equation: time = dist/speed
:
=
Cross multiply
460(x-35) = 404(x+35)
:
460x - 16100 = 404x + 14140
:
460x - 404x = 14140 + 16100
:
56x = 30240
x =
x = 540 mph plane speed in still air
:
:
Check solution by finding the travel time of each a/c, should be the same:
460/575 = .8 hrs
404/505 = .8 also

SOLUTION: Hi. I have been stumbling with this one and I am happy to have found this site!! I shouldn't be having a problem, but I am--- road block!!! - Two planes having the same airspeed