document.write( "Question 274196: Hi. I have been stumbling with this one and I am happy to have found this site!! I shouldn't be having a problem, but I am--- road block!!!
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document.write( " - Two planes having the same airspeed depart simultaneously from the airport, flying in opposite directions. One plane flies directly into a 35mph wind, and the other flies in the same direction as the wind. After a period of time, one plane has traveled 460 miles abd the other has traveled 404 miles. Let x= the airspeed of each plane (note: this is only possible because the airspeed is the same.)
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document.write( " I know d=rt. I have r=x-35mph for the one going to the wind and x+35mph for the other. Do I simply go 460=35t for the one going with the wind?
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document.write( " I am lost here and not sure if I am thinking too much on it. Thank you for your help!!!!! rl \n" );
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Algebra.Com's Answer #200123 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! Two planes having the same airspeed depart simultaneously from the airport, flying in opposite directions. \n" ); document.write( " One plane flies directly into a 35mph wind, and the other flies in the same direction as the wind. \n" ); document.write( " After a period of time, one plane has traveled 460 miles and the other has traveled 404 miles. \n" ); document.write( " Let x= the airspeed of each plane (note: this is only possible because the airspeed is the same.) \n" ); document.write( ": \n" ); document.write( "Here is how I would do it. \n" ); document.write( ": \n" ); document.write( "Both planes travel time is the same, write a time equation: time = dist/speed \n" ); document.write( ": \n" ); document.write( " \n" ); document.write( "Cross multiply \n" ); document.write( "460(x-35) = 404(x+35) \n" ); document.write( ": \n" ); document.write( "460x - 16100 = 404x + 14140 \n" ); document.write( ": \n" ); document.write( "460x - 404x = 14140 + 16100 \n" ); document.write( ": \n" ); document.write( "56x = 30240 \n" ); document.write( "x = \n" ); document.write( "x = 540 mph plane speed in still air \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "Check solution by finding the travel time of each a/c, should be the same: \n" ); document.write( "460/575 = .8 hrs \n" ); document.write( "404/505 = .8 also \n" ); document.write( " |