document.write( "Question 736425: A van departs from a rest stop at 9am heading west and travels at an average rate of 40 miles per hour. two hours later a car departs from the same rest stop also heading west and travels at an average rate of 65 miles per hour. at what time will the car catch up to the van and how far will they have traveled at that time?
\n" );
document.write( "I need to build an equation, and so far all i have is this;
\n" );
document.write( "Rate x Time = Dist
\n" );
document.write( "40 x 40x
\n" );
document.write( "40-x 2 2(40-x)
\n" );
document.write( "this just feels all wrong... 40x + 65(2+x) =\r
\n" );
document.write( "
\n" );
document.write( "
\n" );
document.write( "
\n" );
document.write( "
\n" );
document.write( "
\n" );
document.write( "
\n" );
document.write( "
\n" );
document.write( "
\n" );
document.write( "
\n" );
document.write( "
\n" );
document.write( "
\n" );
document.write( "
\n" );
document.write( "\n" );
document.write( "9 \n" );
document.write( "
Algebra.Com's Answer #449829 by mananth(16946)![]() ![]() You can put this solution on YOUR website! First car 40 mph \n" ); document.write( "Car II 65 mph \n" ); document.write( "First car 09:00 \n" ); document.write( "Car II 11:00 \n" ); document.write( "Difference in time= 02:00 => 2.00 hours \n" ); document.write( "First car will have covered 80.00 miles Car II starts \n" ); document.write( "catch up distance= 80.00 miles \n" ); document.write( "catch up speed = 65 -40 \n" ); document.write( "catch up speed = 25 mph \n" ); document.write( "Catchup time = catchup distance/catch up speed \n" ); document.write( "catch up time= 3.2 \n" ); document.write( "catch up time= 3.20 hours \n" ); document.write( "They will meet at 12:20 pm \n" ); document.write( "Car II speed = 65 hours \n" ); document.write( "Time to catch up = 3.2 \n" ); document.write( "D=Speed * time \n" ); document.write( "D= 65 * 3.2 \n" ); document.write( "D= 208 miles \n" ); document.write( "Car II will catch up when it has traveled 208 miles \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " |