SOLUTION: Suppose you hike up a hill at 4 km/h. You hike back down at 6 km/h. Hiking trip took 3 hours. How much time did it take you to hike up the hill?

Question 792983: Suppose you hike up a hill at 4 km/h. You hike back down at 6 km/h. Hiking trip took 3 hours.
How much time did it take you to hike up the hill?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Suppose you hike up a hill at 4 km/h. You hike back down at 6 km/h.
Hiking trip took 3 hours.
How much time did it take you to hike up the hill?
:
Let d = the one-way distance
Write a time equation; time = dist/speed
:
Time up + time down = 3 hrs
+ = 3
multiply by 12, results:
3d + 2d = 12(3)
5d = 36
d = 36/5
d = 7.2 km
Find the time up the hill
7.2/4 = 1.8 hr up the hill
:
Check this by finding the time down the hill
7.2/6 = 1.2 hrs
1.8+1.2 = 3 hrs

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