SOLUTION: Matt and Anna are frequent flyers. They fly between two cities that are at a distance of 1980 miles apart. on one trip they flew into the wind and took 5.5 hours. the return trip w

Question 926060: Matt and Anna are frequent flyers. They fly between two cities that are at a distance of 1980 miles apart. on one trip they flew into the wind and took 5.5 hours. the return trip with the wind behind them took about 4.5 hours. find the speed of the wind and the speed of the plane in the air.
Answer by TimothyLamb(4379) (Show Source): You can put this solution on YOUR website!
x = airplane speed in still air
y = wind speed
---
s = d/t
---
upwind:
x - y = 1980/5.5
x - y = 360
---
downwind:
x + y = 1980/4.5
x + y = 440
---
put the system of linear equations into standard form
---
x - y = 360
x + y = 440
---
copy and paste the above standard form linear equations in to this solver:
https://sooeet.com/math/system-of-linear-equations-solver.php
---
solution:
x = airplane speed in still air = 400 mph
y = wind speed = 40 mph
---
Solve and graph linear equations:
https://sooeet.com/math/linear-equation-solver.php
---
Solve quadratic equations, quadratic formula:
https://sooeet.com/math/quadratic-formula-solver.php
---
Solve systems of linear equations up to 6-equations 6-variables:
https://sooeet.com/math/system-of-linear-equations-solver.php
RELATED QUESTIONS
Matt and Anna Killian are frequent fliers on Fast-n-Go Airlines. They often fly... (answered by ikleyn,Theo)

Matt and Anna Killian are frequent fliers on fast-n-go airlines. They often fly between... (answered by jorel1380,solver91311)

Matt and Anna are frequent fliers on Fast-N-Go Airlines They often fly between two cities (answered by lwsshak3)

Please help me set this up and solve. Thank you so much. Matt and Anna Killian are... (answered by ikleyn)

Please help me with this math problem solving: Thank you, really apprecite it. Dave... (answered by Alan3354,josmiceli)

Please help me with this math problem solving: Thank you, really appreciate it. Sorry... (answered by josmiceli)

A map is drawn so that every 3.4 inches on the map corresponds to an actual distance of... (answered by ewatrrr)

The number of long distance calls between two cities in a certain time period varies... (answered by stanbon)

A map is drawn so that every 3.3 inches on the map corresponds to an actual distance of... (answered by addingup)