document.write( "Question 180564: Steve traveled 150 miles at a certain speed. Had he gone 20mph faster, the trip would have taken 2 hours less. Find the speed of his vehicle. \n" ); document.write( "

Algebra.Com's Answer #135324 by Alan3354(69443) $\"\"$ $\"About$

You can put this solution on YOUR website!
Steve traveled 150 miles at a certain speed. Had he gone 20mph faster, the trip would have taken 2 hours less. Find the speed of his vehicle.
\n" ); document.write( "----------------
\n" ); document.write( "t = 150/r t=time, r=rate
\n" ); document.write( "t-2 = 150/(r+20)
\n" ); document.write( "Sub for t in 2nd eqn
\n" ); document.write( "(150/r)-2 = 150/(r+20)
\n" ); document.write( "Multiply by (r+20)
\n" ); document.write( "(150(r+20)/r)-2(r+20) = 150
\n" ); document.write( "Multiply by r
\n" ); document.write( "150(r+20) - 2r(r+20) = 150r
\n" ); document.write( " $\"150r+%2B+3000+-+2r%5E2+-+40r+=+150r\"$
\n" ); document.write( " $\"2r%5E2+%2B+40r+-+3000+=+0\"$
\n" ); document.write( " $\"r%5E2+%2B+20r+-+1500+=+0\"$
\n" ); document.write( "(r+50)*(r-30) = 0
\n" ); document.write( "r = 30, r = -50 *********(Ignore the -50)
\n" ); document.write( "r = 30 mph
\n" ); document.write( " \n" ); document.write( "

\n" );