document.write( "Question 667729: After robbing a bank in Dodge City, a robber gallops off at 14 mi/h. 10 minutes later, the marshall leaves to pursue the robber at 15 mi/h. How long (in hours) does it take the marshall to catch up to the robber? \n" ); document.write( "
Algebra.Com's Answer #415134 by mananth(16946)![]() ![]() You can put this solution on YOUR website! In such problems you have to find the catchup distance and the catch up speed\r \n" ); document.write( "\n" ); document.write( "Robber speed = 14 mph\r \n" ); document.write( "\n" ); document.write( "he has a lead time of 10 minutes. = 1/6 hour.\r \n" ); document.write( "\n" ); document.write( "when Marshall starts the robber is 1/6 * 14 = 14/6-> 7/3 miles away\r \n" ); document.write( "\n" ); document.write( "Marshall speed = 15 mph\r \n" ); document.write( "\n" ); document.write( "catchup speed = 15-14 = 1mph\r \n" ); document.write( "\n" ); document.write( "time = d/r\r \n" ); document.write( "\n" ); document.write( "t= (7/3) / 1\r \n" ); document.write( "\n" ); document.write( "so Marshall will take 7/3 hours to catch him \n" ); document.write( "= 2 hours and 20 minutes \n" ); document.write( " |