SOLUTION: a person clims to the top of a mountain at the rate of 1.5 km per hour an ddown the sam way at the rate of 4.5 km per hour. if he was gone for 6 hours, how far did he travel from c
Algebra ->
Customizable Word Problem Solvers
-> Travel
-> SOLUTION: a person clims to the top of a mountain at the rate of 1.5 km per hour an ddown the sam way at the rate of 4.5 km per hour. if he was gone for 6 hours, how far did he travel from c
Log On
Question 899320: a person clims to the top of a mountain at the rate of 1.5 km per hour an ddown the sam way at the rate of 4.5 km per hour. if he was gone for 6 hours, how far did he travel from camp to the top of the moutain? Answer by ankor@dixie-net.com(22740) (Show Source):
You can put this solution on YOUR website! a person climbs to the top of a mountain at the rate of 1.5 km per hour an down the same way at the rate of 4.5 km per hour.
if he was gone for 6 hours, how far did he travel from camp to the top of the mountain?
:
let d = the distance from camp to top of mountain
:
Write a time equation, time = dist/speed
:
Time up + time down = 6 hrs + = 6
get rid of the denominators, multiply by 4.5
4.5* + 4.5* = 4.5*6
Cancel the denominators
3d + d = 27
4d = 27
d = 27/4
d = 6.75 km to the top of the mountain
:
:
Check this, find the actual time each way
6.75/1.5 = 4.5 hrs
6.75/4.5 = 1.5 hrs
-------------------
total time: 6 hrs
