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Andru [333]
2 years ago
8

One student begins in Cleveland, Ohio, and walks towards Buffalo, New York, a distance of 200 miles. She walks at the rate of 2.

5 miles per hour. Another student begins riding his bicycle in Cleveland and rides towards Buffalo at the rate of 11 miles per hour. The walking student begins her journey at 8:00 AM. The riding student starts 4 hours later.
Part A Write a system of two equations that could be used to find the distance each student is from Cleveland, Ohio, at any given time. Let x represent the distance that the walking student is from Cleveland, let y represent the distance that the riding student is from Cleveland, and let t be the time that has elapsed since the walking student left Cleveland.

Part B Solve the system of equations for x and y to determine how many hours elapse before the students meet.
Mathematics
1 answer:
omeli [17]2 years ago
6 0
Ok so student in cleveland walks 2.5 miles away from cleveland every hour from 8
so the distance, x is x=2.5t

the riding one rides 4 hours later, so t-4
11 mph
y=11(t-4)

A. x=2.5t
y=11(t-4)

when do they meet is when the distance when they are equal or when x=y
2.5t=x=y=11(t-4)
solve for t
2.5t=11(t-4)
2.5t=11t-44
-8.5t=-44
divide both sides by -8.5
t=5.17647

answer is 5.18 hours


A.
x=2.5t
y=11(t-4)

B. 5.18 hours

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