document.write( "Question 82372: Beavis and Butthead steal their neighbor's riding lawnmower and drive away at a constant speed of 15 miles per hour. Five minutes later, their neighbor jumps onto Butthead's skateboard and chases after them at a constant speed of 20 miles per hour. Find the neighbor's travel time needed to catch Beavis and Butthead. Give your final answer in hours. \n" ); document.write( "
Algebra.Com's Answer #59007 by askmemath(368) ![]() You can put this solution on YOUR website! Since everything is is minutes, we'll first find the answer in minutes and then convert it to hours\r \n" ); document.write( "\n" ); document.write( "In 1min Beavis and Butthead would have covered 15/60 miles = 1/4miles \n" ); document.write( "In 5mins Beavis and Butthead would have covered 15/60 miles =5x( 1/4miles) = 5/4 = 1.25miles\r \n" ); document.write( "\n" ); document.write( "Now the neighbour starts chasing them at 20miles per hour \n" ); document.write( "Effective speed = 20-15 = 5miles per hour = 5/60 = 1/12mile per minute\r \n" ); document.write( "\n" ); document.write( "Time taken to cover 5/4 miles = (5/4) / (1/12) = 15mins\r \n" ); document.write( "\n" ); document.write( "Time taken in hours = 15/60 = 1/4 = .25hours \n" ); document.write( " \n" ); document.write( " |