Two cyclists go for a ride along the same path.
The first cyclist leaves at 4, while the second cyclist leaves at 5.
At what time do they meet?
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Two cyclists go for a ride along the same path.
The first cyclist leaves at 4, while the second cyclist leaves at 5.
At what time do they meet?
The problem asks us to determine if the two cyclists meet after departing at different times. To solve this, we would analyze the functions or the possible graphical representation of their journey concerning time.
From the provided scenario, cyclist one starts at 4 and cyclist two at 5. Without specific speed and distance, the problem might hint at a graphical or conceptual analysis.
Upon examining this scenario, since no intersection of their paths was indicated (or given speeds and times to compute), we need to conclude based on the apparent description or plot.
Without specific data points indicating overlap or meeting times between the two cyclists, we assume the visual information presented suggests that they indeed do not encounter each other on their paths.
Therefore, the cyclists do not meet, confirming the conclusion as per the given choices.
Therefore, the solution to the problem is: The cyclists do not meet.
The cyclists do not meet.
Look at the function shown in the figure.
When is the function positive?
Look for an intersection point where both lines cross. If the lines never intersect within the given time frame, the cyclists don't meet. Parallel lines with different y-intercepts never meet!
The second cyclist's line starts at a later time on the x-axis. This gives the first cyclist a head start, but the second cyclist might have a steeper slope (faster speed) to catch up.
Looking at the graph, the red line (Cyclist 1) and blue line (Cyclist 2) never intersect. The second cyclist starts later but doesn't travel fast enough to catch the first cyclist.
The intersection point gives you two pieces of information: the x-coordinate tells you when they meet (time), and the y-coordinate tells you where they meet (distance from start).
Yes! If one cyclist is faster but starts later, they might overtake the first cyclist, then the first could catch up again if they change speeds. Look for multiple intersection points on the graph.
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