document.write( "Question 839777: A car traveled 468 mi at a certain speed. If the speed had been 13 mph faster, the trip could have been made in 3 hr less time. Find the speed. \n" ); document.write( "
Algebra.Com's Answer #505825 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
A car traveled 468 mi at a certain speed. If the speed had been 13 mph faster, the trip could have been made in 3 hr less time. Find the speed.
\n" ); document.write( "---------
\n" ); document.write( "Slower DATA:
\n" ); document.write( "distance = 469 miles ; rate = r mph ; time = 469/r hrs
\n" ); document.write( "------
\n" ); document.write( "Faster DATA:
\n" ); document.write( "distance = 469 miles ; rate = r+13 mph ; time = 469/(r+13) hrs
\n" ); document.write( "-----------------
\n" ); document.write( "Equation:
\n" ); document.write( "slower time - faster time = 3 hrs.
\n" ); document.write( "469/r - 469/(r+13) = 3 hrs
\n" ); document.write( "------------------------------
\n" ); document.write( "469r + 469*13 - 469r = 3r(r+13)
\n" ); document.write( "---------
\n" ); document.write( "3r^2 + 39r -469*13 = 0
\n" ); document.write( "r = 39.05.. mph
\n" ); document.write( "====================
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
\n" ); document.write( "--------------------
\n" ); document.write( "
\n" );