SOLUTION: A jet flew at an average speed of 640mph from Los Angeles to Chicago. Because of head winds the jet averaged only 512 mph on the return trip, and the trip took 48 minutes longe

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Question 466446: A jet flew at an average speed of 640mph from Los Angeles to Chicago.
Because of head winds the jet averaged only 512 mph on the return trip, and
the trip took 48 minutes longer.
A. How many hours was the flight from Chicago to Los Angeles?
B. How far is it from Chicago to Los Angeles?
I really need help with this problem. I am really confused and have no idea
how to figure this problem out. Can you please help me?
Thank you kindly.
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
Get the logic right
time taken from chicago to LA was more by 48 minutes = 4/5 hours
Let the distance between LA and chicago be x
t= d/r
time to chicago = x/640 hours
time to LA = x/512
Time to LA - Time to chicago = 4/5
x/512 - x/630= 4/5
630x-512x= 4*630*512 /5
118x= 4*126*512
x= 4*126*512/118
x= 2186.8 miles
Time to LA = 2186.8/512
4.2 hours
CHECK
Time to chicago = 2186.8 / 640
= 3.42 hours
4.27-3.4= 0.8 hours