SOLUTION: A jet flew at an average speed of 500 mph from Metro City to Farmville. Because of a favorable tailwind, the jet averaged 600 mph on the return trip, and the return trip was shorte

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Question 165580: A jet flew at an average speed of 500 mph from Metro City to Farmville. Because of a favorable tailwind, the jet averaged 600 mph on the return trip, and the return trip was shortened by 50 minutes. How far is it from Metro City to Farmville?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
The distance is the same on both trips
d+=+r%5B1%5D%2At%5B1%5D
d+=+r%5B2%5D%2At%5B2%5D
r%5B1%5D+=+500mi/hr
r%5B2%5D+=+600mi/hr
Also given is
t%5B2%5D+=+t%5B1%5D+-+50%2F60hrs
r%5B1%5D%2At%5B1%5D+=+r%5B2%5D%2At%5B2%5D
500+%2At%5B1%5D+=+600%2A%28t%5B1%5D+-+5%2F6%29
100t%5B1%5D+=+500
t%5B1%5D+=+5hrs
d+=+500t%5B1%5D
d+=+500%2A5
d+=+2500mi
And also
d+=+600%2A%285+-+%285%2F6%29%29
d+=+600%2A%2825%2F6%29
d+=+2500
It is 2500 mi from Metro City to Farmville