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
\n" ); document.write( "\n" ); document.write( "Thank you!
\n" ); document.write( "
\n" ); document.write( "

Algebra.Com's Answer #14361 by stanbon(75887)\"\" \"About 
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( "
\n" );