document.write( "Question 273281: 3.A knight wanted to visit a princess.
\n" ); document.write( "He had to arrive at 5:00pm
\n" ); document.write( "If he traveled at 15km per hour, he would arrive one hour too early
\n" ); document.write( "If he traveled at 10km per hour, he would arrive one hour too late.
\n" ); document.write( "At what time did he leave, what distance did he travel, and at what speed did he travel
\n" ); document.write( "
\n" ); document.write( "

Algebra.Com's Answer #199675 by ankor@dixie-net.com(22740)\"\" \"About 
You can put this solution on YOUR website!
He had to arrive at 5:00pm
\n" ); document.write( "If he traveled at 15km per hour, he would arrive one hour too early
\n" ); document.write( "If he traveled at 10km per hour, he would arrive one hour too late.
\n" ); document.write( "At what time did he leave, what distance did he travel, and at what speed did he travel
\n" ); document.write( ":
\n" ); document.write( "Let d = distance traveled
\n" ); document.write( ":
\n" ); document.write( "Write an time equation; time = dist/speed
\n" ); document.write( "Travel time at 10 km/hr - travel time at 15 km/h = 2 hrs
\n" ); document.write( "\"d%2F10\" - \"d%2F15\" = 2
\n" ); document.write( "Multiply by 30
\n" ); document.write( "3d - 2d = 30(2)
\n" ); document.write( "d = 60 km is the distance
\n" ); document.write( ":
\n" ); document.write( "Find the travel time at 15 km/hr
\n" ); document.write( "\"60%2F15\" = 4 hrs
\n" ); document.write( ":
\n" ); document.write( "let s = speed required to get there on time
\n" ); document.write( ":
\n" ); document.write( "required travel time - 15km/hr travel time = 1
\n" ); document.write( "\"60%2Fs\" - 4 = 1 hr
\n" ); document.write( "60 - 4s = 1s
\n" ); document.write( "60 = 1s + 4s
\n" ); document.write( "60 = 5s
\n" ); document.write( "s = 12 km/hr to arrive on time
\n" ); document.write( ":
\n" ); document.write( "Required travel time: \"60%2F12\" = 5 hrs
\n" ); document.write( "He would have to leave at noon
\n" ); document.write( ";
\n" ); document.write( "Summarize, depart at noon, travel for 5 hrs at 12 km/hr, a dist of 60 km\r
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );