Question 965363: I'm stuck on this math problem, please spare some time to help me. I'd really appreciate those who help me, god bless!
Question :
Eli and Alayna are hiking separately on the same 6-mile mountain trail. Eli has already hiked up the mountain and is now hiking back down at a rate of 1.65 miles per hour. Alayna starts hiking up the trail at the same time Eli starts hiking down. The function d = 1.35t, where d is distance in miles and t is time in hours, gives Alayna's distance from the start of the trail on her way up the mountain.
a. use the variables d and t to write a function that gives Eli's distance from the start of the trail while on his way down the mountain.
b. At what point on the trail do Eli and Alayna meet? Explain.
Answer by ankor@dixie-net.com(22740)   (Show Source):
You can put this solution on YOUR website! Eli and Alayna are hiking separately on the same 6-mile mountain trail.
Eli has already hiked up the mountain and is now hiking back down at a rate of 1.65 miles per hour.
Alayna starts hiking up the trail at the same time Eli starts hiking down.
The function d = 1.35t, where d is distance in miles and t is time in hours, gives Alayna's distance from the start of the trail on her way up the mountain.
:
a. use the variables d and t to write a function that gives Eli's distance from the start of the trail while on his way down the mountain.
Eli is getting closer to the start of the trail (Alayna is getting further)
therefore:
d = 6 - 1.65t
:
b. At what point on the trail do Eli and Alayna meet? Explain.
First find the time it takes them to meet, (when they meet they will have traveled a total of 6 mi)
1.35t + 1.65t = 6
3.0t = 6
t = 6/3
t = 2hrs for them to meet
Find how far Alayna traveles from the start in 2 hrs
2 * 1.35 = 2.7 mi from the start when they meet
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