SOLUTION: A flight averages 460 miles per hour. The return flight averages 500 miles per hour due to a tailwind. The total flying time is 4.8 hours. How long is each flight? Explain.

Question 898003: A flight averages 460 miles per hour. The return flight averages 500 miles per hour due to a tailwind. The total flying time is 4.8 hours. How long is each flight? Explain.
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
A flight averages 460 miles per hour.
The return flight averages 500 miles per hour due to a tailwind.
The total flying time is 4.8 hours. How long is each flight?
:
let d = the one-way distance
:
Write a time equation: time = dist/speed
:
flight time + return time = 4.8 hrs
+ = 4.8
Multiply by 46000 to clear the denominators
46000* + 46000* = 46000(4.8)
cancel the denominators
100d + 92d = 220800
192d = 220800
d = 220800/192
d = 1150 mi the distance of each flight
Find the time of each
1150/460 = 2.5 hrs
1150/500 = 2.3 hrs (return)
------------------------------
check total: 4.8 hrs

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