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? 
:
let d = the one-way distance
:
Write a time equation: time = dist/speed
:
flight time + return time = 4.8 hrs
{{{d/460}}} + {{{d/500}}} = 4.8
Multiply by 46000 to clear the denominators
46000*{{{d/460}}} + 46000*{{{d/500}}} = 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)
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check total: 4.8 hrs