Question

Luca rode his bicycle 8 kilometers on Monday. On Tuesday, he rode his bicycle 20% farther than he rode on Monday. On Wednesday, he rode his bicycle 10% farther than he rode on Tuesday.

Complete the following prompts.

***Do not round the numbers.***

(3 points)
How many more kilometers did Luca ride his bicycle on Tuesday?
kilometers

How far did Luca ride his bicycle on Tuesday?
kilometers

How many more kilometers did Luca ride his bicycle on Wednesday?
kilometers

Question 2
How far did Luca ride his bicycle on Wednesday?(1 point)
Responses

8.3 kilometers
8.3 kilometers

9.68 kilometers
9.68 kilometers

10.4 kilometers
10.4 kilometers

10.56 kilometers
10.56 kilometers
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Answer 1

Let's break down the calculations step-by-step:

1. **Distance ridden on Monday**: Luca rode **8 kilometers**.

2. **Distance ridden on Tuesday**:
- He rode 20% farther than on Monday.
- To find 20% of 8 kilometers:
\[
20\% \, of \, 8 = 0.20 \times 8 = 1.6 \, kilometers
\]
- Therefore, the distance he rode on Tuesday is:
\[
8 + 1.6 = 9.6 \, kilometers
\]

3. **How many more kilometers did Luca ride his bicycle on Tuesday?**
\[
9.6 - 8 = 1.6 \, kilometers
\]

4. **Distance ridden on Wednesday**:
- He rode 10% farther than on Tuesday.
- To find 10% of 9.6 kilometers:
\[
10\% \, of \, 9.6 = 0.10 \times 9.6 = 0.96 \, kilometers
\]
- Therefore, the distance he rode on Wednesday is:
\[
9.6 + 0.96 = 10.56 \, kilometers
\]

5. **How many more kilometers did Luca ride his bicycle on Wednesday?**
\[
10.56 - 9.6 = 0.96 \, kilometers
\]

Now, summarizing the answers:

- **How many more kilometers did Luca ride his bicycle on Tuesday?**
- **1.6 kilometers**

- **How far did Luca ride his bicycle on Tuesday?**
- **9.6 kilometers**

- **How many more kilometers did Luca ride his bicycle on Wednesday?**
- **0.96 kilometers**

**Question 2: How far did Luca ride his bicycle on Wednesday?**
- The answer is **10.56 kilometers**.