Question 915937: Johnny is in a hot air balloon that is at 900 feet and rising 5 ft per hour. Susie is in a hot air balloon that is 1240 feet high, falling at 12 ft per hour.
a) how long will it be until Johnny and Susie are at the same height?
900+5n=1240-12n
-900 +12 -900 +12
17n=340
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17 17
n=20
b) Use the equation and answer from part a to determine what height they will be when they meet. ????
Answer by josh_jordan(263)   (Show Source):
You can put this solution on YOUR website! To solve part b, all you need to do is substitute the n in either equation for 20. So, if we use the first equation of 900 + 5n, we can replace n with 20:
900 + 5(20) ------> 900 + 100 -----> 1000
Therefore, they will be 1000 feet when they meet. You can verify by replacing n for 20 in your second equation:
1240 - 12(20) -----> 1240 - 240 -----> 1000
Final Answer for Part b: 1000 feet
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