document.write( "Question 825116: A vehicle is speeding at 70 mph. A cop which is 14 miles behind the speeding car drives after it at 98 mph. How long will it take for the cop to overtake the speeding car? \n" ); document.write( "
Algebra.Com's Answer #497033 by stanbon(75887) ![]() You can put this solution on YOUR website! A vehicle is speeding at 70 mph. A cop which is 14 miles behind the speeding car drives after it at 98 mph. How long will it take for the cop to overtake the speeding car? \n" ); document.write( "------------ \n" ); document.write( "Car DATA: distance = x miles ; rate = 70 mph ; time = x/70 hrs \n" ); document.write( "---- \n" ); document.write( "Cop DATA: distance = x+14 miles ; rate = 98 mph ; time = (x+14)/98 \n" ); document.write( "----- \n" ); document.write( "time = time \n" ); document.write( "x/70 + (x+14)/98 \n" ); document.write( "98x = 70x + 70*14 \n" ); document.write( "28x = 70*14 \n" ); document.write( "x = 35 miles \n" ); document.write( "x+14 = 49 miles \n" ); document.write( "---- \n" ); document.write( "Cop time = 49/98 hrs = 1/2 hr \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "-------------- \n" ); document.write( " \n" ); document.write( " |