SOLUTION: Against a head wind, Jeff computes his flight time for a trip of 2900 miles at 5 hours. The flight would take 4 hours and 50 minutes if the head wind were half as much. Find the he
Algebra.Com
Question 239236: Against a head wind, Jeff computes his flight time for a trip of 2900 miles at 5 hours. The flight would take 4 hours and 50 minutes if the head wind were half as much. Find the head wind and the plane's air speed.
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Against a head wind, Jeff computes his flight time for a trip of 2900 miles at 5 hours.
The flight would take 4 hours and 50 minutes if the head wind were half as much.
Find the head wind and the plane's air speed.
:
Let x = plane's air speed
Let y = headwind speed
and
.5y = half the headwind speed
:
Write two dist equations; dist = time * speed
:
Equation 1
5(x - y) = 2900
Simplify, divide both sides by 5
x - y = 580
and
equation 2
4(x - .5y) = 2900
which is
(x - .5y) = 2900
Divide both sides by 29/6: results
x - .5y = 600
:
use elimination
x - .5y = 600
x - y = 580
--------------Subtraction eliminate x, find y
+.5y = 20
y = 40 mph is the head wind
then
x - 40 = 580
x = 580 + 40
x = 620 mph is the plane speed
:
:
Check solution in the 2nd original equation
(620 - .5(40)) =
(620 - 20) =
(600) = 2900
29(100) = 2900
RELATED QUESTIONS
Against a head wind, Jeff computes his flight time for a trip of 2900 miles at 5 hours.... (answered by ankor@dixie-net.com)
An airplane took 2.5 hours to fly 625 miles with the wind. It took 4 hours and 10... (answered by piglet162431)
Ben is a piolet for Air Airwas. He computes his flight time against a headwind for a... (answered by Alan3354,Theo)
An airplane flew for 4 hours against a head wind of 40 km/h. On the return flight the... (answered by tutorvolunteer)
At what air speed must a plane be flown to complete a trip between two airports 420 miles (answered by ankor@dixie-net.com)
an airplane flew for 4 hours against a head wind of 40km/h.on the return flight the same... (answered by jorel1380)
hon flies from atlanta, georgia to san francisco,california. It take 5.6 hours to travel... (answered by jorel1380)
This is not for homework; however, it is one in a homework text for the University of... (answered by Alan3354,Theo)
An airplane flew for 4 hours against a head wind of 40 km/h. On the return flight the... (answered by Paul)