document.write( "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? \n" ); document.write( "

Algebra.Com's Answer #289697 by josmiceli(19441) $\"\"$ $\"About$

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Win means which one will get to a certain height first,
\n" ); document.write( "but I don't know what that height is.
\n" ); document.write( "I can find out when they will both be at the same height.
\n" ); document.write( "The blue balloon has to make up the difference in their heights
\n" ); document.write( "red:
\n" ); document.write( " $\"h+=+40t\"$
\n" ); document.write( "blue:
\n" ); document.write( " $\"h+%2B+%2895+-+30%29+=+50t\"$
\n" ); document.write( " $\"h+%2B+65+=+50t\"$
\n" ); document.write( " $\"h+=+50t+-+65\"$
\n" ); document.write( "-------------------
\n" ); document.write( "Make the $\"h\"$ 's equal
\n" ); document.write( " $\"40t+=+50t+-+65\"$
\n" ); document.write( " $\"10t+=+65\"$
\n" ); document.write( " $\"t+=+6.5\"$ min
\n" ); document.write( "and, since
\n" ); document.write( " $\"h+=+40t\"$
\n" ); document.write( " $\"h+=+40%2A6.5\"$
\n" ); document.write( " $\"h+=+260\"$
\n" ); document.write( "This is the amount that the red balloon rises in 6.5 min
\n" ); document.write( "The height above GROUND where the 2 balloons meet is
\n" ); document.write( " $\"h%5Bg%5D+=+290+%2B+95+=+385\"$ ft in 6.5 min\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

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