We appreciate your visit to Aja and Pete are biking on a trail Aja begins 2 miles ahead of Pete and bikes at an average speed of 3 miles per. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!
Answer :
Answer:
Pete will catch up Aja after 2 hours
Step-by-step explanation:
We can represent thsi problem as as system of equations.
Let
x = be the time in which both Aja and Pete starte biking, (in hours)
y = the number of miles traveled by each
Aja begins 2 miles ahead of Pete and bikes at an average speed of 3 miles per hour. This means
y_Aja = 3*x + 2
Pete bikes at an average speed of 4 miles per hour.
y_Pete = 4*x
Then, we can find the intersection point between the graphs, so we find the solution.
Please see attached picture below
Pete will catch up Aja after 2 hours
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Answer:
2 hours
Step-by-step explanation:
Given in the question that,
speed of Aja = 3 miles/h
speed of Pete = 4 miles/h
we know that Aja is 2 miles away from Pete
Both will have covered same distance at the time they will catch up.
suppose time = x
distance covered = y
Formula to use
distance = speed x time
Equation 1
3x = y - 2
3x + 2 = y
Equation 2
4x = y
Equate both equation
3x + 2 = 4x
2 = 4x -3x
2 = x