document.write( "Question 265588: A person climbs to the top of a mountain at the rate of 1.5 kilometers per hour and down the same way at a rate of 4.5 kilometers per hour.If he is gone for 6 hours, how far did he travel from camp to the top of the mountain? \n" ); document.write( "
Algebra.Com's Answer #195294 by checkley77(12844)![]() ![]() ![]() You can put this solution on YOUR website! D=RT \n" ); document.write( "D=1.5T UP THE MOUNTAIN. \n" ); document.write( "D=4.5(6-T) DOWN THE MOUNTAIN \n" ); document.write( "SET THE DISTANCES EQUAL & SOLVE FOR THE TIME. \n" ); document.write( "1.5T=4.5(6-T) \n" ); document.write( "1.5T=27-4.5T \n" ); document.write( "1.5T+4.5T=27 \n" ); document.write( "6T=27 \n" ); document.write( "T=27/6 \n" ); document.write( "T=4.5 HOURS FOR THE TIME GOING UP THE MOUNTAIN. \n" ); document.write( "D=1.5*4.5=6.75 MILES IS THE DISTANCE UP THE MOUNTAIN. \n" ); document.write( "PROOF: \n" ); document.write( "6.75=4.5(6-4.5) \n" ); document.write( "6.75=4.5*1.5 \n" ); document.write( "6.75=6.75 \n" ); document.write( " |