# SOLUTION: 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

Algebra ->  Algebra  -> Customizable Word Problem Solvers  -> Travel -> SOLUTION: 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      Log On

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 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? Answer by checkley77(12569)   (Show Source): You can put this solution on YOUR website!D=RT D=1.5T UP THE MOUNTAIN. D=4.5(6-T) DOWN THE MOUNTAIN SET THE DISTANCES EQUAL & SOLVE FOR THE TIME. 1.5T=4.5(6-T) 1.5T=27-4.5T 1.5T+4.5T=27 6T=27 T=27/6 T=4.5 HOURS FOR THE TIME GOING UP THE MOUNTAIN. D=1.5*4.5=6.75 MILES IS THE DISTANCE UP THE MOUNTAIN. PROOF: 6.75=4.5(6-4.5) 6.75=4.5*1.5 6.75=6.75