document.write( "Question 678791: If I traveled 60 mph and was an hour early, and traveled 30 mph and was an hour late how far was the airport? \n" ); document.write( "
Algebra.Com's Answer #421629 by jim_thompson5910(35256)![]() ![]() ![]() You can put this solution on YOUR website! Let t = time it takes to travel a distance of d miles (and be on time)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "So to be an hour early, it would mean that you travel 1 hour less than normal, which means that you spend t-1 hours on the road.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "To be an hour late, you add 1 to t to get t+1 hours.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "-------------------------------------------------------\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Being 1 hr early\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "d = rt\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "d = 60t\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "d = 60(t-1)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "-----------------------------\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Being 1 hr late\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "d = rt\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "d = 30t\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "d = 30(t+1)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "---------------------------\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Equate the two and solve for t\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "60(t-1) = 30(t+1)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "60t-60 = 30t+30\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "60t-30t = 30+60\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "30t = 90\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "t = 90/30\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "t = 3\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "So if you arrive on time, then you will spend 3 hours on the road. Being early means you only spend 2 hours on the road and being late means you spend 4 hours on the road.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Use this to find d\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "d = 60(t-1)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "d = 60(3-1)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "d = 120\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Therefore, the distance is 120 miles. \n" ); document.write( " |