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.
