document.write( "Question 26010: Please help me with this problem: Helped by a strong jet stream, a Los Angeles-to-Boston plane flew 10% faster than usual and made the 4400 km trip in 30 minutes less time than usual. At what speed does the plane usually fly?\r
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Algebra.Com's Answer #14361 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! Usual Flight Data: \n" ); document.write( "distance=1400; rate=x mph; time=d/r=1400/x hrs. \n" ); document.write( "Faster Flight Data: \n" ); document.write( "distance=1400; rate=1.1xmph; time=d/r=1400/1.1x \n" ); document.write( "EQUATION: \n" ); document.write( "Usual time-Faster time= 2/3 hr \n" ); document.write( "(1400/x) - (1400-1.1x)= 2/3 \n" ); document.write( "Divide by 1400 to get: \n" ); document.write( "1/x - 1/1.1x =1/2100 \n" ); document.write( "(1.1x-x)/(1.1x^2)= 1/2100 \n" ); document.write( "0.1x/1.1x^2= 1/2100 \n" ); document.write( "0.1/1.1x=1/2100 \n" ); document.write( "1.1x=210 \n" ); document.write( "x=190.90 (usual speed of the plane) \n" ); document.write( "Cheers, \n" ); document.write( "Stan H.\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |