document.write( "Question 621152: Ashley traveled by car at an average speed of 31 miles per hour.\r
\n" ); document.write( "\n" ); document.write( "Then, she traveled by motorcycle at an average speed of 25 miles per hour.\r
\n" ); document.write( "\n" ); document.write( "In total, she traveled 27 miles for 1 hour.
\n" ); document.write( "How many minutes did Ashley travel by car?
\n" ); document.write( "

Algebra.Com's Answer #390611 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
Let \"+t+\" = time traveled by car
\n" ); document.write( "\"+1+-+t+\" = time traveled by motorcycle
\n" ); document.write( "Let \"+d+\" = distance traveled by car
\n" ); document.write( "\"+27+-+d+\" = distance traveled by motorcycle
\n" ); document.write( "--------
\n" ); document.write( "By car:
\n" ); document.write( "(1) \"+d+=+31t+\"
\n" ); document.write( "By motorcycle:
\n" ); document.write( "(2) \"+27+-+d+=+25%2A%28+1+-+t+%29+\"
\n" ); document.write( "-----------------------
\n" ); document.write( "Substitute (1) into (2)
\n" ); document.write( "(2) \"+27+-+31t+=+25%2A%28+1+-+t+%29+\"
\n" ); document.write( "(2) \"+27+-+31t+=+25+-+25t+\"
\n" ); document.write( "(2) \"+6t+=+2+\"
\n" ); document.write( "(2) \"+t+=+1%2F3+\"
\n" ); document.write( "\"+%281%2F3%29%2A60+=+20+\"
\n" ); document.write( "Ashley traveled 20 minutes by car
\n" ); document.write( "check:
\n" ); document.write( "(1) \"+d+=+31%2A%281%2F3%29+\"
\n" ); document.write( "(1) \"+d+=+31%2F3+\"
\n" ); document.write( "and
\n" ); document.write( "(2) \"+27+-+d+=+25%2A%28+1+-+1%2F3+%29+\"
\n" ); document.write( "(2) \"+27+-+d+=+25%2A%282%2F3%29+\"
\n" ); document.write( "(2) \"+81+-+3d+=+50+\"
\n" ); document.write( "(2) \"+3d+=+31+\"
\n" ); document.write( "(2) \"+d+=+31%2F3+\"
\n" ); document.write( "OK
\n" ); document.write( "
\n" );