Given:
The worker packed 3 pints every 5 minutes in the morning and 4 pints every 6 minutes.
To find the difference in pints per hour, let's find the hourly rate for both morning and afternoon.
Hourly rate in the morning is:
![(3)/(5)*(60\min )/(1hr)=(180)/(5)=\text{ 36 pints per hour}](https://img.qammunity.org/2023/formulas/mathematics/high-school/v6a051iji4863x1exm5z01wmvh6pj6vtuz.png)
Hourly rate in the afternoon:
![\frac{4\text{ pints}}{6\text{ mins}}*(60\min s)/(1hr)=(240)/(6)=40\text{ pints per hour}](https://img.qammunity.org/2023/formulas/mathematics/high-school/m16sytskfeshmmt4mhq9wldd8dd63dspku.png)
The differnce between her morning and afternoon packing rates in pints per hour will be:
![36\text{ - 40 = -4 (pints per hour)}](https://img.qammunity.org/2023/formulas/mathematics/high-school/8wc6vjt1zdcr9zso1ec7dt3w8l0jqvmq2y.png)
The differnce is 4 pints per hour
ANSWER:
4 pints per hour