Question

Two bikers track how many miles they traveled for 8 hour they spent biking biker A's distant travel is shown in the graph above biker B's distant traveled is shown in the table above using the data above which biker can cycle faster how fast were they traveling biker beats travel per hour our spent biking 1, 2, 3 and Miles traveled 12, 24, 36 biker As distance traveled per hour Miles traveled 15, 30, 45 hours spent biking 1, 2, 3

Answer 1

To determine which biker can cycle faster and their respective speeds, we will calculate the average speeds of both bikers over the periods provided.

### Biker A:
- Distance traveled in 1 hour: 15 miles
- Distance traveled in 2 hours: 30 miles
- Distance traveled in 3 hours: 45 miles

Let's calculate the speed for biker A:
- Speed = Distance / Time

1. For the first hour:
\[
\text{Speed} = \frac{15 \text{ miles}}{1 \text{ hour}} = 15 \text{ mph}
\]
2. For the second hour:
\[
\text{Speed} = \frac{30 \text{ miles}}{2 \text{ hours}} = 15 \text{ mph}
\]
3. For the third hour:
\[
\text{Speed} = \frac{45 \text{ miles}}{3 \text{ hours}} = 15 \text{ mph}
\]

The average speed of biker A is **15 mph**.

### Biker B:
From the table, we have the following distance traveled at the end of each hour:
- Distance traveled in 1 hour: 12 miles
- Distance traveled in 2 hours: 24 miles
- Distance traveled in 3 hours: 36 miles

Now, let's calculate the speed for biker B:
1. For the first hour:
\[
\text{Speed} = \frac{12 \text{ miles}}{1 \text{ hour}} = 12 \text{ mph}
\]
2. For the second hour:
\[
\text{Speed} = \frac{24 \text{ miles}}{2 \text{ hours}} = 12 \text{ mph}
\]
3. For the third hour:
\[
\text{Speed} = \frac{36 \text{ miles}}{3 \text{ hours}} = 12 \text{ mph}
\]

The average speed of biker B is **12 mph**.

### Conclusion:
Biker A has a higher average speed of **15 mph**, while biker B has an average speed of **12 mph**. Therefore, biker A can cycle faster than biker B.