document.write( "Question 995952: the speed of wind is 6 mph. a hummingbird flies for 24 minutes with the wind to a food source. it takes 36 minutes to return (into the wind) from the food source. find the speed of the hummingbird in still air \n" ); document.write( "
Algebra.Com's Answer #614589 by josmiceli(19441)\"\" \"About 
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Convert minutes to hours:
\n" ); document.write( "\"+24%2F60+=+.4+\" hrs
\n" ); document.write( "\"+36%2F60+=+.6+\" hrs
\n" ); document.write( "-------------------
\n" ); document.write( "Let \"+s+\" = the speed of the hummingbird in still air
\n" ); document.write( "\"+s+%2B+6+\" = bird's speed flying with the wind
\n" ); document.write( "\"+s+-+6+\" = bird's speed flying against the wind
\n" ); document.write( "Let \"+d+\" = the one-way distance the bird flies
\n" ); document.write( "---------------------------------------
\n" ); document.write( "Equation for flying with the wind:
\n" ); document.write( "(1) \"+d+=+%28+s%2B6+%29%2A.4+\"
\n" ); document.write( "Equation for flying against the wind:
\n" ); document.write( "(2) \"+d+=+%28+s-6+%29%2A.6+\"
\n" ); document.write( "-----------------
\n" ); document.write( "Substitute (1) into (2)
\n" ); document.write( "\"+%28+s%2B6+%29%2A.4+=+%28+s-6+%29%2A.6+\"
\n" ); document.write( "\"+.4s+%2B+2.4+=+.6s+-+3.6+\"
\n" ); document.write( "\"+.2s+=+6+\"
\n" ); document.write( "\"+s+=+30+\"
\n" ); document.write( "The speed of the hummingbird in still air is 30 mi/hr
\n" ); document.write( "------------
\n" ); document.write( "check:
\n" ); document.write( "(1) \"+d+=+%28+s%2B6+%29%2A.4+\"
\n" ); document.write( "(1) \"+d+=+%2830%2B6+%29%2A.4+\"
\n" ); document.write( "(1) \"+d+=+36%2A.4+\"
\n" ); document.write( "(1) \"+d+=+14.4+\"
\n" ); document.write( "and
\n" ); document.write( "(2) \"+d+=+%28+s-6+%29%2A.6+\"
\n" ); document.write( "(2) \"+d+=+%28+30-6+%29%2A.6+\"
\n" ); document.write( "(2) \"+d+=+24%2A.6+\"
\n" ); document.write( "(2) \"+d+=+14.4+\"
\n" ); document.write( "OK
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