document.write( "Question 999174: Help please!\r
\n" ); document.write( "\n" ); document.write( "Greg and Gary enter a bike race. Greg travels at 16 miles per hour, and Gary travels at 12 miles per hour. Greg finishes the race 2 hours ahead of Gary. How many miles did Greg travel in the race?
\n" ); document.write( "

Algebra.Com's Answer #616869 by ankor@dixie-net.com(22740)\"\" \"About 
You can put this solution on YOUR website!
Greg and Gary enter a bike race.
\n" ); document.write( " Greg travels at 16 miles per hour, and Gary travels at 12 miles per hour.
\n" ); document.write( " Greg finishes the race 2 hours ahead of Gary.
\n" ); document.write( " How many miles did Greg travel in the race?
\n" ); document.write( ":
\n" ); document.write( "let d = distance traveled by Greg, also the length of the race
\n" ); document.write( ":
\n" ); document.write( "We can say that Greg ran the race in 2 hrs less time that Gary
\n" ); document.write( "Write a time equation; time = dist/speed
\n" ); document.write( "Gary's time - Greg's time = 2 hrs
\n" ); document.write( "\"d%2F12\" - \"d%2F16\" = 2
\n" ); document.write( "Multiply the equation by the least common multiple; 48. Cancel the denominators
\n" ); document.write( "4d - 3d = 48(2)
\n" ); document.write( "d = 96 mi traveled by Greg
\n" ); document.write( ":
\n" ); document.write( ":
\n" ); document.write( "Confirm this solution; find the actual time of each
\n" ); document.write( "96/12 = 8 hrs
\n" ); document.write( "96/16 = 6 hrs
\n" ); document.write( "--------------
\n" ); document.write( "differ: 2 hrs
\n" ); document.write( "
\n" );