SOLUTION: A jet flew at an average speed of 520 miles per hour from Metro City to Farmville. Because of a favorable tail wind, the jet averaged 600 on the return trip, and the return trip wa

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Question 271003: A jet flew at an average speed of 520 miles per hour from Metro City to Farmville. Because of a favorable tail wind, the jet averaged 600 on the return trip, and the return trip was shortened by 40 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!
write equations for each trip
(1) d%5B1%5D+=+r%5B1%5D%2At%5B1%5D
(2) d%5B2%5D+=+r%5B2%5D%2At%5B2%5D
given:
d%5B1%5D+=+d%5B2%5D (call it d)
r%5B1%5D+=+520 mi/hr
r%5B2%5D+=+600 mi/hr
t%5B2%5D+=+t%5B1%5D+-+2%2F3 hr (40 min is 2/3 hr)
---------------------------------------------
(1) d+=+520%2At%5B1%5D
(2) d+=+600%2A%28t%5B1%5D+-+2%2F3%29
they both equal d, so
520t%5B1%5D+=+600t%5B1%5D+-+400
80t%5B1%5D+=+400
t%5B1%5D+=+5 hrs
And, from (1)
d+=+520%2At%5B1%5D
d+=+520%2A5
d+=+2600 mi
They are 2600 miles from eachother
check answer:
(2) d+=+600%2A%28t%5B1%5D+-+2%2F3%29
d+=+600%2A%284+%2B+1%2F3%29
d+=+2400+%2B+200
d+=+2600 mi
OK