SOLUTION: If a red balloon is 95 feet above the ground and rising at 40 feet per minute and the a blue balloon is only 30 feet above the ground but is rising at 50 feet per minute, which bal

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Question 412429: If a red balloon is 95 feet above the ground and rising at 40 feet per minute and the a blue balloon is only 30 feet above the ground but is rising at 50 feet per minute, which balloon will win?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Win means which one will get to a certain height first,
but I don't know what that height is.
I can find out when they will both be at the same height.
The blue balloon has to make up the difference in their heights
red:
h+=+40t
blue:
h+%2B+%2895+-+30%29+=+50t
h+%2B+65+=+50t
h+=+50t+-+65
-------------------
Make the h's equal
40t+=+50t+-+65
10t+=+65
t+=+6.5 min
and, since
h+=+40t
h+=+40%2A6.5
h+=+260
This is the amount that the red balloon rises in 6.5 min
The height above GROUND where the 2 balloons meet is
h%5Bg%5D+=+290+%2B+95+=+385 ft in 6.5 min