SOLUTION: An airplane flies from New Orleans,Louisiana, to Atlanta, Georgia, at an average rate of 320 miles per hour. The airplane then returns at an average rate of 280 miles per hour.The

Question 366205: An airplane flies from New Orleans,Louisiana, to Atlanta, Georgia, at an average rate of 320 miles per hour. The airplane then returns at an average rate of 280 miles per hour.The total travel time is 3 hours.
a. Define a variable for the flying time from New Orleans to Atlanta. Write an expression for the travel time from Atlanta to New Orleans.
b.Write and solve an equation to find the flying time from New Orleans to Atlanta.
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
An airplane flies from New Orleans,Louisiana, to Atlanta, Georgia, at an
average rate of 320 miles per hour.
The airplane then returns at an average rate of 280 miles per hour.
The total travel time is 3 hours.
:
a. Define a variable for the flying time from New Orleans to Atlanta.
Write an expression for the travel time from Atlanta to New Orleans.
Let t = flying time from N.O to At
(3-t) = flying time from At to N.O.
:
b.Write and solve an equation to find the flying time from New Orleans to Atlanta.
Write a distance equation; dist = speed * time
To dist = return dist
320t = 280(3-t)
320t = 840 - 280t
320t + 280t = 840
600t = 840
t =
t = 1.4 hrs from N.O. to At
:
:
Check solution: (At-N.O. time = 1.6 hrs) find the distances, should be equal.
320*1.4 = 448 mi
280*1.6 = 448 mi also
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