Linus climbs up to the top of a mountain with the speed of 3 km/h. On the way downwards the same mountain the speed is double. It takes an hour longer to climb up than down. How long is the the route to the mountain's top?

Guest Mar 21, 2017

#1**+1 **

Distance is 6km

I had all of the calcs entered and tried to post it but the server crashed and it all went away. I do not like the new overhaul of the website...this has happened several times.....site used to auto save input, but it does not anymore.

ElectricPavlov
Mar 21, 2017

#2**+1 **

Let T be the time, in hours, that it takes Linus to travel down the mountain.....so......the time to travel up is T + 1 hours.......so

R * T = D

3 (T + 1) = 6 * T simplify

3T + 3 = 6T subtract 3T from both sides

3 = 3T divide both sides by 3

1 hour = T

So.....the distance = 6 * 1 hr = 6 km

CPhill
Mar 21, 2017