Question

In the morning, a farm worker packed 3 pints of strawberries every 4 minutes. In the afternoon, she packed 2 pints of strawberries every 3 minutes. What was the difference between her morning and afternoon packing rates, in pints per hour? Hint: 1 hour = 60 minutes Part A: Find the unit rate of pints per hour for the farm worker in the morning.show all your work

Answer 1

Let:

r1 = unit rate of pints per hour for the farm worker in the morning

r2 = unit rate of pints per hour for the farm worker in the afternoon

For r1:

She packed 3 pints of strawberries every 4 minutes, so:

`\begin{gathered} r1=\frac{3_{\text{ }}pints}{4_{\text{ }}minutes} \\ r1=(3)/(4)\frac{_{\text{ }}pints}{\min } \\ r1=0.75\frac{_{\text{ }}pints}{\min} \end{gathered}`

For r2:

she packed 2 pints of strawberries every 3 minutes, so:

`\begin{gathered} r2=\frac{2_{\text{ }}pints}{3_{\text{ }}minutes} \\ r2=(2)/(3)(pints)/(\min ) \\ r2=0.67(pints)/(\min ) \end{gathered}`

the difference between her morning and afternoon packing rates is:

`\begin{gathered} Dr=r1-r2 \\ Dr=(3)/(4)-(2)/(3) \\ Dr=(1)/(12)=0.0833 \end{gathered}`