document.write( "Question 320038: A bank robber holds up a bank and speeds away on the freeway at 80 miles per hour. Thirty minutes later, police officers, having gotten a description from people at the bank, take off in pursuit at 90 miles per hour. How long will the police have to drive to catch up, and how far from the bank will they catch the robber? \n" ); document.write( "
Algebra.Com's Answer #229187 by mananth(16946) You can put this solution on YOUR website! speed of robber = 80mph \n" ); document.write( "speed of police = 90mph \n" ); document.write( "robber has traveled 40 miles when the police start.( police start 1/2 hour later) \n" ); document.write( "Let them meet at distance x from the bank. \n" ); document.write( "time taken by police = x/90 hours \n" ); document.write( "time taken by robber in the same time = x-40/80. \n" ); document.write( ".. \n" ); document.write( "x/90 = x-40/80 \n" ); document.write( "80x=90(x-40) \n" ); document.write( "80x = 90x-3600 \n" ); document.write( "10x=3600 \n" ); document.write( "x= 360 miles. The distance where they catch up with the robber from the bank. \n" ); document.write( "'' \n" ); document.write( "speed of police = 90mph \n" ); document.write( "distance = 360 miles \n" ); document.write( "time they catch up = 360/90 \n" ); document.write( "= 4 hours \n" ); document.write( " |