document.write( "Question 115726: \r
\n" ); document.write( "\n" ); document.write( "A plane flies 720 miles against a steady 30mi/h headwind and then returns to the same point with the wind. If the entire trip takes 10 hrs, what is the plane's speed in still air?\r
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\n" ); document.write( "\n" ); document.write( "720/30 = 10/x
\n" ); document.write( "720x = 30*10
\n" ); document.write( "720x = 300
\n" ); document.write( "720x/720 = 300/720\r
\n" ); document.write( "\n" ); document.write( "Am I on the right track on solving this problem because the answer I come up with is not a whole number?
\n" ); document.write( "

Algebra.Com's Answer #84303 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
s = the plane's speed in still air
\n" ); document.write( "w = wind speed
\n" ); document.write( "The problem says \"w+=+30\" mi/hr
\n" ); document.write( "(time going) + (time returning) = total time
\n" ); document.write( "The problems says total time = 10 hrs
\n" ); document.write( "Note that distance/rate = time
\n" ); document.write( "\"720+%2F+%28s+-+w%29+%2B+720+%2F+%28s+%2B+w%29+=+10\"
\n" ); document.write( "\"720+%2F+%28s+-+30%29+%2B+720+%2F+%28s+%2B+30%29+=+10\"
\n" ); document.write( "multiply both sides by \"%28s+-+30%29%28s+%2B+30%29\"
\n" ); document.write( "\"720%28s+%2B+30%29+%2B+720%28s+-+30%29+=+10%28s+%2B+30%29%28s+-+30%29\"
\n" ); document.write( "\"720s+%2B+21600+%2B+720s+-+21600+=+10%28s%5E2+-+900%29\"
\n" ); document.write( "\"1440s+=+10s%5E2+-+9000\"
\n" ); document.write( "\"10s%5E2+-+1440s+-+9000+=+0\"
\n" ); document.write( "\"s%5E2+-+144s+-+900+=+0\"
\n" ); document.write( "solve using quadratic formula
\n" ); document.write( "\"s+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"
\n" ); document.write( "a = 1
\n" ); document.write( "b = -144
\n" ); document.write( "c = -900
\n" ); document.write( "\"s+=+%28-%28-144%29+%2B-+sqrt%28+%28-144%29%5E2-4%2A1%2A%28-900%29+%29%29%2F%282%2A1%29+\"
\n" ); document.write( "\"s+=+%28144+%2B-+sqrt%2820736+%2B+3600%29%29+%2F+2\"
\n" ); document.write( "\"s+=+%28144+%2B-+156%29+%2F+2\"
\n" ); document.write( "\"s+=+150\"
\n" ); document.write( "\"s+=+-6\"
\n" ); document.write( "The positive answer is the only one that makes sense
\n" ); document.write( "The plane's speed in still air is 150 mi/hr
\n" ); document.write( "check answer:
\n" ); document.write( "\"720+%2F+%28s+-+w%29+%2B+720+%2F+%28s+%2B+w%29+=+10\"
\n" ); document.write( "\"720+%2F+%28150+-+30%29+%2B+720+%2F+%28150+%2B+30%29+=+10\"
\n" ); document.write( "\"720+%2F+120+%2B+720+%2F+180+=+10\"
\n" ); document.write( "\"6+%2B+4+=+10\"
\n" ); document.write( "OK
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