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14. It takes Camden 45 minutes to complete \( \frac{1}{5} \) of his art project. How many hours will it take him to complete the whole project if he works at the sam rate? hours

Ask by Mullins Ortega. in the United States
Jan 26,2025

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Answer

Camden will need 3.75 hours to complete the entire art project.

Solution

To determine how many hours Camden will need to complete his entire art project at the same rate, follow these steps: 1. **Understand the Given Information:** - **Time to complete \( \frac{1}{5} \) of the project:** 45 minutes. 2. **Find the Total Time to Complete the Entire Project:** - Since \( \frac{1}{5} \) of the project takes 45 minutes, the whole project (which is \( 5 \times \frac{1}{5} = 1 \)) would take: \[ 45 \text{ minutes} \times 5 = 225 \text{ minutes} \] 3. **Convert Minutes to Hours:** - There are 60 minutes in one hour. To convert 225 minutes to hours: \[ \frac{225 \text{ minutes}}{60 \text{ minutes/hour}} = 3.75 \text{ hours} \] - Alternatively, you can break it down into hours and minutes: - \( 3 \) hours \( = 180 \) minutes - Remaining minutes \( = 225 - 180 = 45 \) minutes - So, \( 3 \) hours and \( 45 \) minutes. 4. **Final Answer:** - **Camden will need 3.75 hours (or 3 hours and 45 minutes) to complete the entire art project.**

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If Camden takes 45 minutes to complete \( \frac{1}{5} \) of his project, we first calculate how long it takes him to finish the entire project. Since \( \frac{1}{5} \) of the project takes 45 minutes, we can multiply that time by 5: \[ 5 \times 45 \text{ minutes} = 225 \text{ minutes} \] Now, converting 225 minutes into hours, we divide by 60: \[ \frac{225}{60} = 3.75 \text{ hours} \] So, it will take Camden 3.75 hours to complete the whole project. To break it down further, think of it this way: Camden’s steady pace means he maintains his creative flow throughout his work. Maintaining such a commitment is crucial for artists who often face the notorious phenomenon of procrastination or burnout. By setting smaller milestones like completing \( \frac{1}{5} \) of the project at a time, Camden not only paces himself but also enjoys the journey of creation, which is just as significant as the finished piece itself! Speaking of pacing, did you know that managing time effectively is a skill that can take a lifetime to master? Many artists find that using techniques such as the Pomodoro method, where you work for 25 minutes followed by a 5-minute break, can keep energy and inspiration high! Be careful, though; a common mistake is not allowing enough time for each creative break, which can lead to burnout. Balancing work and rest is the key to maintaining long-term productivity in art or any project!

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