We know that
• The rate is 0.02 calories per pound each minute.
,
• There are 417 calories.
,
• Liz weighs 120 pounds.
First, we multiply the weight with the rate.
![120lb\cdot0.02\frac{\text{cal}}{lb}=2.4cal](https://img.qammunity.org/2023/formulas/mathematics/college/eqj2wd6dn9ztdguhpkfs6c6lqfyj1vfl7i.png)
This means Liz burns 2.4 calories each minute. If there are 417 calories, we just have to divide.
![(417)/(2.4)=173.75\min](https://img.qammunity.org/2023/formulas/mathematics/college/7iagbi9r9lvm615juyfpqojlfclvo75mfe.png)
Therefore, Liz would take 173.75 minutes to burn off the sandwich.