document.write( "Question 551216: At what rate must motorist A travel to overtake motorist B who is traveling at a rate 20 mi/hr slower if A starts two hours after B and wishes to overtake B in 4hours. Please thank you <3 \n" ); document.write( "
| Algebra.Com's Answer #359541 by mananth(16946)     You can put this solution on YOUR website! let speed of B be x mph \n" ); document.write( "in 2 hours before A starts B has already traveled 2x miles\r \n" ); document.write( "\n" ); document.write( "So the difference between A & B when B starts is 2x miles ( d= rt) \n" ); document.write( "A's rate is 20 km/h more than B's rate . \n" ); document.write( "catchup speed = 20 mph \n" ); document.write( "Catch up distance is 2x miles \n" ); document.write( "t=d/r \n" ); document.write( "A catches up in 4 hours\r \n" ); document.write( "\n" ); document.write( "2x/20=4 \n" ); document.write( "2x=80 \n" ); document.write( "x=40\r \n" ); document.write( "\n" ); document.write( "speed of B is 40 mph \n" ); document.write( "speed of A = 60 mph \n" ); document.write( " \n" ); document.write( " |