SOLUTION: Sam hiked up a mountain at a rate of 2.5 mph and returned along the same path at a rate of 3 mph. His total hiking time was 11hr. How long was the hiking trail?
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Question 162216: Sam hiked up a mountain at a rate of 2.5 mph and returned along the same path at a rate of 3 mph. His total hiking time was 11hr. How long was the hiking trail? Found 2 solutions by checkley77, KnightOwlTutor:Answer by checkley77(12844) (Show Source):
You can put this solution on YOUR website! d/2.5+d/3=11
(3d+2.5d)/2.5*3=11
5.5d/7.5=11
5.5d=7.5*11
5.5d=82.5
d=82.5/5.5
d=15 is the distance.
Proof:
15/2.5+15/3=11
6+5=11
11=11
You can put this solution on YOUR website! The distance traveled at 2.5 mph=the distance traveled at 3mph
the total time for the entire trip is 11 hours
x=time to hike up the mountain at 2.5 mph
11-x=time to hike down the mountain
Rate*Time=Distance
2.5x=3(11-x)
use the distributive property
2.5x=33-3x
add 3x to both sides
5.5x=33
divide both sides by 5.5
x=6
It takes 6 hours to hike up the mountain
Distance=2.5*6=15 miles is the length of the hiking trail.
Let's double check our answer
2.5*6=3*5
15=15
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