document.write( "Question 507924: Write a system of equations then solve:
\n" ); document.write( "You and a friend share the driving on a 280 mile trip. Your average speed is 58 m.p.h. Your friend's average speed is 53 m.p.h. You drive one hour longer than your friend. How many hours did each of you drive?
\n" ); document.write( "

Algebra.Com's Answer #340876 by ankor@dixie-net.com(22740)\"\" \"About 
You can put this solution on YOUR website!
You and a friend share the driving on a 280 mile trip.
\n" ); document.write( " Your average speed is 58 m.p.h.
\n" ); document.write( " Your friend's average speed is 53 m.p.h.
\n" ); document.write( " You drive one hour longer than your friend.
\n" ); document.write( "How many hours did each of you drive?
\n" ); document.write( ":
\n" ); document.write( "Let t = friends driving time
\n" ); document.write( "then
\n" ); document.write( "(t+1) = your driving time
\n" ); document.write( ":
\n" ); document.write( "Write a distance equation, dist = speed * time
\n" ); document.write( ":
\n" ); document.write( "your dist + friend's dist = 380 mi
\n" ); document.write( "58(t+1) + 53t = 280
\n" ); document.write( "58t + 58 + 53t = 280
\n" ); document.write( "58t + 53t = 280 - 58
\n" ); document.write( "111t = 222
\n" ); document.write( "t = \"222%2F111\"
\n" ); document.write( "t = 2 hrs your friend drove
\n" ); document.write( "then
\n" ); document.write( "2 + 1 = 3 hrs driven by you
\n" ); document.write( ":
\n" ); document.write( ":
\n" ); document.write( "See if that checks out, find the dist each drove
\n" ); document.write( "58*3 = 174 mi
\n" ); document.write( "53*2 = 106 mi
\n" ); document.write( "--------------------
\n" ); document.write( "total: 280 mi
\n" ); document.write( "
\n" );