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Sure! Let's solve this step by step.
1. Understanding the Problem:
- Jack delivers 90 circulars in 20 minutes.
- We need to find out how long it will take him to deliver 135 circulars at the same rate.
2. Find the Rate of Delivery:
- First, we need to determine how much time it takes Jack to deliver one circular. This rate is given by the time taken divided by the number of circulars delivered.
- Time taken for one circular:
[tex]\[ \text{Rate per circular} = \frac{\text{Time taken (minutes)}}{\text{Number of circulars delivered}} = \frac{20 \text{ minutes}}{90 \text{ circulars}} \][/tex]
- Simplifying this, we get:
[tex]\[ \text{Rate per circular} \approx 0.2222 \text{ minutes per circular} \][/tex]
3. Calculate the Total Time for 135 Circulars:
- Now, we use the rate we just calculated to determine the time it will take Jack to deliver 135 circulars.
- Time for 135 circulars:
[tex]\[ \text{Time for 135 circulars} = \text{Rate per circular} \times \text{Total circulars} = 0.2222 \text{ minutes per circular} \times 135 \text{ circulars} \][/tex]
- Simplifying this, we get:
[tex]\[ \text{Time for 135 circulars} = 30 \text{ minutes} \][/tex]
Conclusion:
Jack will take 30 minutes to deliver 135 circulars at the same rate.
1. Understanding the Problem:
- Jack delivers 90 circulars in 20 minutes.
- We need to find out how long it will take him to deliver 135 circulars at the same rate.
2. Find the Rate of Delivery:
- First, we need to determine how much time it takes Jack to deliver one circular. This rate is given by the time taken divided by the number of circulars delivered.
- Time taken for one circular:
[tex]\[ \text{Rate per circular} = \frac{\text{Time taken (minutes)}}{\text{Number of circulars delivered}} = \frac{20 \text{ minutes}}{90 \text{ circulars}} \][/tex]
- Simplifying this, we get:
[tex]\[ \text{Rate per circular} \approx 0.2222 \text{ minutes per circular} \][/tex]
3. Calculate the Total Time for 135 Circulars:
- Now, we use the rate we just calculated to determine the time it will take Jack to deliver 135 circulars.
- Time for 135 circulars:
[tex]\[ \text{Time for 135 circulars} = \text{Rate per circular} \times \text{Total circulars} = 0.2222 \text{ minutes per circular} \times 135 \text{ circulars} \][/tex]
- Simplifying this, we get:
[tex]\[ \text{Time for 135 circulars} = 30 \text{ minutes} \][/tex]
Conclusion:
Jack will take 30 minutes to deliver 135 circulars at the same rate.
30 minutes
20(minutes) divided by 90(circulars) = 0.2222.
0.2222 times 135 (circulars) = 30
20(minutes) divided by 90(circulars) = 0.2222.
0.2222 times 135 (circulars) = 30
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