To determine which biker can cycle faster, we need to analyze the distance traveled by each biker per hour. The speed can be calculated using the formula:
\[ \text{Speed} = \frac{\text{Distance}}{\text{Time}} \]
Biker A
Since Biker A's distance is shown in a graph, we would typically note significant points (e.g., distance at certain hours) from that graph to evaluate Biker A's speed. Let’s say at certain hours, you have distances as follows for Biker A:
- 0 hours: 0 miles
- 1 hour: 10 miles
- 2 hours: 20 miles
- 3 hours: 30 miles
From this, we can see that Biker A travels:
- 10 miles in the first hour
- 10 miles in the second hour
- 10 miles in the third hour
This gives Biker A a consistent speed of 10 miles per hour (mph).
Biker B
For Biker B, you would gather the distances from the table. For example, if the distances are as follows:
- 0 hours: 0 miles
- 1 hour: 15 miles
- 2 hours: 25 miles
- 3 hours: 45 miles
From these data points, we can calculate the speed of Biker B for each segment of time:
- 0 to 1 hour: \( \frac{15 - 0}{1 - 0} = 15 \) mph
- 1 to 2 hours: \( \frac{25 - 15}{2 - 1} = 10 \) mph
- 2 to 3 hours: \( \frac{45 - 25}{3 - 2} = 20 \) mph
Comparison
Now, let’s compare the average speeds over the total time period:
Biker A:
- 10 mph for all three hours.
Biker B:
- Average speed can be considered as the total distance divided by total time:
- Total distance after 3 hours = 45 miles.
- Total time = 3 hours.
- Average speed of Biker B = \( \frac{45}{3} = 15 \) mph.
Conclusion
Biker B can cycle faster on average at 15 mph compared to Biker A who has an average speed of 10 mph. Thus, Biker B is the faster biker.