document.write( "Question 408363: At 2:00pm a runner heads north on a highway, jogging at 10mph. At 2:30pm a driver heads north on the same highway to pick up the runner. If the car travels at 55mph, how long will it take the driver to catch the runner? \n" ); document.write( "
Algebra.Com's Answer #287713 by lwsshak3(11628)![]() ![]() ![]() You can put this solution on YOUR website! At 2:00pm a runner heads north on a highway, jogging at 10mph. At 2:30pm a driver heads north on the same highway to pick up the runner. If the car travels at 55mph, how long will it take the driver to catch the runner? \n" ); document.write( "..\r \n" ); document.write( "\n" ); document.write( "Both runner and driver covered the same distance. \n" ); document.write( "Let x=hours driver will catch up with runner. \n" ); document.write( "Then 55x=distance driver covered \n" ); document.write( "Runner ran for 1/2 hour plus the catch up time. \n" ); document.write( "Then 10((1/2)+x)=distance runner covered. \n" ); document.write( "10((1/2)+x)=55x \n" ); document.write( "5+10x=55x \n" ); document.write( "45x=5 \n" ); document.write( "x=1/9 hr \n" ); document.write( "ans: \n" ); document.write( "I would take the driver 1/9 hour to catch up with the runner. \n" ); document.write( " |