SOLUTION: A bicyclist rode up a mountain road at 12 km/h and then back down at 30 km/h. If the round trip toook 3.5 hours, how long did the ride up the mountain take?

Question 166790: A bicyclist rode up a mountain road at 12 km/h and then back down at 30 km/h. If the round trip toook 3.5 hours, how long did the ride up the mountain take?
Answer by jojo14344(1513) (Show Source): You can put this solution on YOUR website!
A bicyclist rode up a mountain road at 12 km/h and then back down at 30 km/h. If the round trip toook 3.5 hours, how long did the ride up the mountain take?

Remember: , EQN 1
Given---,;
*Note: , EQN 2
Via EQN 1, we get -->
Since both distance is the same, we equate both going up and down:

, EQN 3
Via EQN 2, we get , EQN 4 ---> subst. in EQN 3:

------>
, ANSWER in going up
For the record, Via EQN 2---> , going down
* This just make sense, that it will take more time to go up than to go down.
Check Via EQN 3:

Thank you,
Jojo
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