document.write( "Question 704497: \r
\n" ); document.write( "\n" ); document.write( " A jet plane, flying 165 mph faster than a propeller plane, travels 2970 miles in 3 hours less time than the propeller plane takes to fly the same distance. How fast does each plane fly?
\n" ); document.write( "

Algebra.Com's Answer #434117 by checkley79(3341)\"\" \"About 
You can put this solution on YOUR website!
D=RT
\n" ); document.write( "2970=(165+R)(T-3)
\n" ); document.write( "2970=RT
\n" ); document.write( "T=2970/R
\n" ); document.write( "2970=(165+R)(2970/R-3)
\n" ); document.write( "2970=165*2970/R-3R+2970R/R-3*165
\n" ); document.write( "2970=490050/R-3R+2970-495
\n" ); document.write( "2970-2970+495=490050/R-3R
\n" ); document.write( "495=(490050-3R^2)/R
\n" ); document.write( "495R=490050-3R^2
\n" ); document.write( "3R^2+495R-490050=0
\n" ); document.write( "3(R^2+165-163350)=0
\n" ); document.write( "3(R-330)(R+495)=0
\n" ); document.write( "R-330=0
\n" ); document.write( "R=330 RATE OF THE PROPELLER PLANE.
\n" ); document.write( "330+165=495 RATE OF THE JET.
\n" ); document.write( "2970=330T
\n" ); document.write( "2790/330=T
\n" ); document.write( "T=9 HOURS FOR THE PROPELLAR PLANE.
\n" ); document.write( "PROOF:
\n" ); document.write( "2970=495(9-3)
\n" ); document.write( "2970=495*6
\n" ); document.write( "2970=2970
\n" ); document.write( "
\n" );