Can someone answer my math question?
The Appalachian mountain is 2,160 mile footpath that runs from Mt. Kataldhin in Maine to Springer Mtn in Georgia. One hiker starts out at Mt Kataldhin on April 3rd and hikes an average of 10mi a day. Another hiker starts at Springer Mtn on April 11 and hikes an average of 16mi a day. When and where will they meet?
A. Write an equation to find out how many days the first hiker gets before meeting the second hiker. Solve the equation
B. Determine the date that they will meet.
C Use info from A to find out how far from Mt Katahdin and how far from Springer Mt the hikers will meet.
First, there are unnecessary information in the question designed to confuse you (and it confused me for a bit as well)
You can ignore:
-names of the places because they are only names, they aren't relevant to the question
-the distance of the footpath also because they aren't needed for the question (they ask for when they meet, so you don't need to know what happens when they both finish the entire mountain)
You have hiker1's speed: 10miles/day
You have hiker2's speed: 16miles/day
You also have the time they both started their climb: 3rd april and 11th april - let the starting point become 0 so pretend 11th april=0 and the 3rd of april is -8 days so:
Question A:
for the two hikers to meet at the same point, they must be at the SAME DISTANCE so the clue if you must equate two equations together.
for hiker1:
speed=distance/time
10=distance/time
10t=distance ---->equation 1
for hiker2:
16=distance/time
16=distance/t-8----> t-8 because hiker1 got 8 early days to climb (a hint that its t-8 is because the final answer will become negative, and that cannot be true for the distance traveled up a mountain)
16(t-8)=distance -------equation 2
Equate the two:
10t=16t-128 ------>this is the equation they are looking for
-6t=-128 ----->rearrange to find t
t=21.3333 approx 21 days into their climb
Question B:
Simply add 21 to the starting date hiker1 started climbing which is 3rd april so:
3days + 21days = 24
24th april
Question C:
This is also simple as long as you understand question A
all you need to do is use the value for time found out in question A and equate it to either equation 1 or 2:
using equation 1:
10t=distance
10 (21.3333) = d
213.3333miles = d
Spot Check Bear Mountain - 10/11 Early Season Part 1
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