SOLUTION: it takes 1 hour longer to fly to st.paul at 200 miles per hours than it does to return 250 mile per hour.how far is st. paul?

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Question 226024: it takes 1 hour longer to fly to st.paul at 200 miles per hours than it does to return 250 mile per hour.how far is st. paul?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
You have to write 2 equation, one for going and
one for coming back
To St. Paul:
d%5B1%5D+=+r%5B1%5D%2At%5B1%5D
and coming back:
d%5B2%5D+=+r%5B2%5D%2At%5B2%5D
Note that d%5B1%5D+=+d%5B2%5D, distance to St. Paul
given:
r%5B1%5D+=+200 mi/hr
r%5B2%5D+=+250 mi/hr
t%5B1%5D+=+t%5B2%5D+%2B+1 hrs
--------------------
Now I can rewrite the equations
d+=+200%2A%28t%5B2%5D+%2B+1%29
d+=+250t%5B2%5D
They're both equal to d, so
200%2A%28t%5B2%5D+%2B+1%29+=+250t%5B2%5D
200t%5B2%5D+%2B+200+=+250t%5B2%5D
50t%5B2%5D+=+200
t%5B2%5D+=+4 hrs
and
t%5B1%5D+=+t%5B2%5D+%2B+1
t%5B1%5D+=+4+%2B+1
t%5B1%5D+=+5 hrs
Now I can solve for d
d+=+250t%5B2%5D
d+=+250%2A4
d+=+1000
St. Paul is 1000 mi away
check:
d+=+200%2A%28t%5B2%5D+%2B+1%29
d+=+200%2A%284+%2B+1%29
d+=+200%2A5
d+=+1000
OK