document.write( "Question 280875: Sat Tranh took a short hike with his friends up Mt. Wachusett. They hiked uphill at a steady pace of 1.5 mph, and downhill at a rate of 4mph. If the time to climb the mt. took an hour more than the time to hike down, how long was the entire hike? \r
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document.write( "I tried doing d=rt but there is no distance given here. I also tried 4x= 1.5x-1.5 but it yields the incorrect answer. If someone could help me understand how to do this I would greatly appreciate it! \n" );
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Algebra.Com's Answer #204103 by mananth(16946)![]() ![]() You can put this solution on YOUR website! Let the time to hike down be x\r \n" ); document.write( "\n" ); document.write( "The time to hike up was x+1 hours\r \n" ); document.write( "\n" ); document.write( "distance down = 4x\r \n" ); document.write( "\n" ); document.write( "distance up = 1.5(x+1)\r \n" ); document.write( "\n" ); document.write( "Both distances are same\r \n" ); document.write( "\n" ); document.write( "1.5x +1.5 =4x\r \n" ); document.write( "\n" ); document.write( "-2.5x = -1.5\r \n" ); document.write( "\n" ); document.write( "x=-1.5/-2.5\r \n" ); document.write( "\n" ); document.write( "x=0.6\r \n" ); document.write( "\n" ); document.write( "x+1=1.6 hours\r \n" ); document.write( "\n" ); document.write( "Total time = 2.2 hours or 2 hours 12 minutes\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |