To solve the problem, let's start with the information given:
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Monday's distance: Luca rode 8 kilometers.
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Tuesday's distance: He rode 20% farther than Monday.
To calculate Tuesday's distance:
- Increase on Tuesday = 20% of 8 kilometers \[ 20% \text{ of } 8 = 0.20 \times 8 = 1.6 \text{ kilometers} \]
- Therefore, distance on Tuesday = Monday's distance + Increase on Tuesday \[ \text{Tuesday's distance} = 8 + 1.6 = 9.6 \text{ kilometers} \]
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Wednesday's distance: He rode 10% farther than Tuesday.
To calculate Wednesday's distance:
- Increase on Wednesday = 10% of Tuesday's distance \[ 10% \text{ of } 9.6 = 0.10 \times 9.6 = 0.96 \text{ kilometers} \]
- Therefore, distance on Wednesday = Tuesday's distance + Increase on Wednesday \[ \text{Wednesday's distance} = 9.6 + 0.96 = 10.56 \text{ kilometers} \]
Now, let's answer the prompts.
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How many more kilometers did Luca ride on Tuesday compared to Monday?
- Distance on Tuesday - Distance on Monday = 9.6 - 8 \[ \text{More on Tuesday} = 1.6 \text{ kilometers} \]
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How far did Luca ride his bicycle on Tuesday?
- Distance on Tuesday = 9.6 kilometers.
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How many more kilometers did Luca ride on Wednesday compared to Tuesday?
- Distance on Wednesday - Distance on Tuesday = 10.56 - 9.6 \[ \text{More on Wednesday} = 0.96 \text{ kilometers} \]
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How far did Luca ride his bicycle on Wednesday?
- Distance on Wednesday = 10.56 kilometers.
So, the answers are:
- 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
- How far did Luca ride his bicycle on Wednesday? 10.56 kilometers
Thus, the final answers are:
- 1.6 kilometers
- 9.6 kilometers
- 0.96 kilometers
- 10.56 kilometers