SOLUTION: Against the wind a commercial airline in South America flew 480 miles in 3 hours. With a tailwind the return trip took 2.5 hours. What was the speed of the plane in still air? What

Question 981209: Against the wind a commercial airline in South America flew 480 miles in 3 hours. With a tailwind the return trip took 2.5 hours. What was the speed of the plane in still air? What was the speed of the wind?
Found 3 solutions by josgarithmetic, MathTherapy, Alan3354:
Answer by josgarithmetic(39626)   (Show Source): You can put this solution on YOUR website!
r, speed if no wind
w, speed of the wind
Uniform Travel Rates Rule, RT=D to relate rate, time, distance

__________________speed________time________distance
AGAINST____________(r-w)________3___________480
WITHWND____________(r+w)________2.5_________480

Divide members of the first equation by 3, and divide members of the second equation by 2.5.

Use elimination method to get both r and w.
Answer by MathTherapy(10556)   (Show Source): You can put this solution on YOUR website!

Numbers_Word_Problems/981209: Against the wind a commercial airline in South America flew 480 miles in 3 hours. With a tailwind the return trip took 2.5 hours. What was the speed of the plane in still air? What was the speed of the wind?
1 solutions

Let speed of plane be S, and wind, TTravelling against wind, we get: _____ ------ eq (i)
Travelling with wind, we get: _____ -------- eq (ii)
2S = 352 ------- Adding eqs (ii) & (i)
S, or plane's speed = , or
176 - T = 160 ------- Subbing 176 for S in eq (i)
- T = 160 - 176
- T = - 16
T, or speed of wind = , or
Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
Against the wind a commercial airline in South America flew 480 miles in 3 hours. With a tailwind the return trip took 2.5 hours. What was the speed of the plane in still air? What was the speed of the wind?
-----------
Find the 2 groundspeeds, upwind and downwind.
The plane's airspeed is the average of the 2.
-----
Windspeed is the difference between groundspeed and airspeed.
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