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

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(12844) (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
RELATED QUESTIONS
A person climbs to the top of a mountain at the rate of 1.5 km/h and down the same way at (answered by Alan3354)

A person walks to the top of a mountain at a rate of 4mi/hr and down the mountain the... (answered by macston)

gregory hiked from the base of a mountain to its top at an average rate of 2 miles per... (answered by ikleyn)

Boris hiked up a mountain trail and camped overnight at the top. The next day he returned (answered by mananth,solver91311)

Dan hiked up a mountain trail and camped overnight at the top. The next day he returned... (answered by ewatrrr)

Dan hiked up a mountain trail and camped overnight at the top. The next day he returned... (answered by ewatrrr,solver91311)

Jim hiked up a mountain trail and camped overnight at the top. The next day he returned... (answered by scott8148)

Linda hiked up a mountain trail and camped overnight at the top. The next day she... (answered by Alan3354)

Ivanna hiked up a mountain trail and camped overnight at the top. The next day she... (answered by Alan3354)