Question: Joe worked 8 hours and packed 12 cartons. Bob worked 19 hours and packed 27 cartons. Did Joe and Bob work at the same rate?
Solution:
We will solve the exercise by a rule of 3. Suppose that Joe worked 8 hours and packed 12 cartons, then, ¿How many boxes will Joe packed in 19 hours? :
Resolve for x cartons:
![x\text{ cartons packed by joe: }\frac{12\text{ cartons x 19 hours}}{8\text{ hours}}\text{ = 28. 5 cartons}](https://img.qammunity.org/2023/formulas/mathematics/college/g9772s9e0uq5az9r5qxsildamfxzwdcko6.png)
So, if Joe worked 19 hours, he will pack 28.5 cartons. But we know that if Bod worked 19 hours, he will pack 27 cartons. Note that 28.5 is not equal to 27 so we can conclude that
NO, Joe and Bob did not work at the same rate