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

1 answer

To solve the problem step by step, we first need to find out how many kilometers Luca rode on each day based on the information given.

  1. Distance rode on Monday:

    • Luca rode 8 kilometers on Monday.
  2. Distance rode on Tuesday:

    • He rode 20% farther than he did on Monday.
    • To find the distance for Tuesday, calculate 20% of 8 kilometers: \[ 20% \text{ of } 8 = 0.20 \times 8 = 1.6 \text{ kilometers} \]
    • Add this to the distance he rode on Monday: \[ \text{Tuesday distance} = 8 + 1.6 = 9.6 \text{ kilometers} \]
  3. Distance rode on Wednesday:

    • He rode 10% farther than he did on Tuesday.
    • First, calculate 10% of 9.6 kilometers: \[ 10% \text{ of } 9.6 = 0.10 \times 9.6 = 0.96 \text{ kilometers} \]
    • Add this to the distance he rode on Tuesday: \[ \text{Wednesday distance} = 9.6 + 0.96 = 10.56 \text{ kilometers} \]

Now, we will answer the prompts:

  1. How many more kilometers did Luca ride his bicycle on Tuesday?

    • He rode 1.6 kilometers more on Tuesday than on Monday.
    • Answer: 1.6 kilometers
  2. How far did Luca ride his bicycle on Tuesday?

    • He rode a total of 9.6 kilometers on Tuesday.
    • Answer: 9.6 kilometers
  3. How many more kilometers did Luca ride his bicycle on Wednesday?

    • He rode 0.96 kilometers more on Wednesday than on Tuesday.
    • Answer: 0.96 kilometers

In summary:

  • 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