document.write( "Question 1124025: Plane B is flying 55mph faster than Plane A. Find the time it takes for Plane A to travel 1800 miles if it takes Plane B the same amount of time to travel 1965 miles. \n" ); document.write( "
Algebra.Com's Answer #740423 by MathLover1(20849)\"\" \"About 
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Plane \"B\" is flying \"55mph\" faster than Plane \"A\".
\n" ); document.write( "if plane \"B\" is flying \"v=xmph\", then plane \"A\" is flying \"v=%28x-55%29mph\"
\n" ); document.write( "for time \"t\"\r
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\n" ); document.write( "\n" ); document.write( "Find the time it takes for Plane \"A+\"to travel \"1800\" miles if it takes Plane \"B\" the same amount of time to travel \"1965\" miles.\r
\n" ); document.write( "\n" ); document.write( "distance formula: \"d=v%2At\"
\n" ); document.write( "=>\"t=d%2Fv\" \r
\n" ); document.write( "\n" ); document.write( "for Plane A to travel \"d=1800mil\" will take\r
\n" ); document.write( "\n" ); document.write( "\"t=1800%2F%28x-55%29\" ....eq.1\r
\n" ); document.write( "\n" ); document.write( " if it takes Plane B the same amount of time to travel \"1965mil\", we have\r
\n" ); document.write( "\n" ); document.write( "\"t=1965%2Fx\" ......eq.2\r
\n" ); document.write( "\n" ); document.write( "from eq.1 and eq.2:\r
\n" ); document.write( "\n" ); document.write( "\"1800%2F%28x-55%29=1965%2Fx\"
\n" ); document.write( "\"1800x=1965%28x-55%29\"
\n" ); document.write( "\"1800x=1965x-108075\"
\n" ); document.write( "\"108075=1965x-1800x++\"
\n" ); document.write( "\"108075=165x+\"
\n" ); document.write( "\"x=655mph+\" \r
\n" ); document.write( "\n" ); document.write( "so,
\n" ); document.write( "\"x=655mph\" -> rate of Plane \"B\"
\n" ); document.write( "then
\n" ); document.write( "\"x-55=600mph\" -> rate of Plane \"A\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "for Plane A to travel \"d=1800mil\" will take
\n" ); document.write( "\"d=v%2At\"
\n" ); document.write( "\"1800mil=600%28mil%2Fh%29%2At\"
\n" ); document.write( "\"t=1800mil%2F600%28mil%2Fh%29\"
\n" ); document.write( "\"t=3h\" ->the time it takes for Plane \"A+\"to travel \"1800\" miles\r
\n" ); document.write( "\n" ); document.write( "check time for plane \"B\":\r
\n" ); document.write( "\n" ); document.write( "\"1965mil=655%28mil%2Fh%29%2At\"
\n" ); document.write( "\"t=1965mil%2F655%28mil%2Fh%29\"
\n" ); document.write( "\"t=3h\" -> so, proves that the time is same\r
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