document.write( "Question 926526: I'm having some trouble setting up an equation for this word problem. \r
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document.write( "Two planes start from the same airport and fly in opposite directions. The second plane starts 1/2 hour after the first plane, but its speed is 56 kilometers per hour faster. Find the ground speed of the first plane if 1 hour after the first plane deports the planes are 2670 kilometers apart. \n" );
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Algebra.Com's Answer #562298 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! Two planes start from the same airport and fly in opposite directions. The second plane starts 1/2 hour after the first plane, but its speed is 56 kilometers per hour faster. Find the ground speed of the first plane if 1 hour after the first plane deports the planes are 2670 kilometers apart. \n" ); document.write( "--------------- \n" ); document.write( "1st plane DATA: \n" ); document.write( "rate = x km/hr ; time = 1 hr ; distance = x km \n" ); document.write( "---------------------- \n" ); document.write( "2nd plane DATA: \n" ); document.write( "rate = x+56 km/hr ; time = (1/2) hrs ; distance = (1/2)(x+56) km \n" ); document.write( "--------------------- \n" ); document.write( "Equation: \n" ); document.write( "dist + dist = 2670 km \n" ); document.write( "---- \n" ); document.write( "x + (1/2)x + 2670 \n" ); document.write( "(3/2)x = 2670 \n" ); document.write( "x = (2/3)(2670) = 2*890 = 1780 km (rate of the 1st plane) \n" ); document.write( "-------------- \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "================ \n" ); document.write( "----- \n" ); document.write( " \n" ); document.write( " |