document.write( "Question 336180: After robbing a bank in Dodge City, a robber gallops off at 12 mi/h. 10 minutes later, the marshall leaves to pursue the robber at 16 mi/h. How long (in hours) does it take the marshall to catch up to the robber?
\n" );
document.write( " \n" );
document.write( "
Algebra.Com's Answer #241065 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! After robbing a bank in Dodge City, a robber gallops off at 12 mi/h. 10 minutes later, the marshall leaves to pursue the robber at 16 mi/h. How long (in hours) does it take the marshall to catch up to the robber? \n" ); document.write( "------------------- \n" ); document.write( "Robber DATA: \n" ); document.write( "rate = 12 mph ; time = x hrs ; distance = 12x miles \n" ); document.write( "-------------- \n" ); document.write( "Marshall DATA: \n" ); document.write( "rate = 16 mph ; time = x-(1/6) hr distance = 16(x-(1/6)) miles \n" ); document.write( "---- \n" ); document.write( "Equation: \n" ); document.write( "distance = distance \n" ); document.write( "12x = 16(x-(1/6)) \n" ); document.write( "12x = 16x-(16/6) \n" ); document.write( "-4x = -(16/6) \n" ); document.write( "x = 2/3 hr \n" ); document.write( "---- \n" ); document.write( "x-(1/6) = (4/6)-(1/6) = 1/2 hr (time needed for Marshall to catch robber) \n" ); document.write( "============== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |