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)![]() ![]() 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( " \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( " \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( " \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: \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( " |