Question 161321This question is from textbook Algebra
: Kwan hiked uphill at 4km/h and back down at 6km/h. His total hiking time was 3h. how long did the trip up the hill take him? This question is from textbook Algebra
You can put this solution on YOUR website! Kwan hiked uphill at 4km/h and back down at 6km/h. His total hiking time was 3h. how long did the trip up the hill take him?
:
Let t = time to hike up the hill
It states that the total time time up & down is 3 hr; therefore
(3-t) = time down the hill
:
The distance up and down is the same. Write a distance equation from this fact:
Dist = speed * time
:
4t = 6(3-t)
:
4t = 18 - 6t
:
4t + 6t = 18
:
10t = 18
t =
t = 1.8 hrs to hike up the hill. 1 hr 48 min (.8*60)
:
:
Check solution: Down hill: 3 - 1.8 = 1.2 hrs
6*1.2 = 7.2 mi
4*1.8 = 7.2 mi
