Question

Joe worked 12 hours and packed 32 cartons. Bob worked 25 hours and packed 64 cartons. Did Joe and Bobwork at the same rate?O YES, Joe and Bob worked at the same rateO NO, Joe and Bob did not work at the same rate

Answer 1

To be able to compare the rates, we will write them in fraction form.

The fraction that represents Joe's rate is:

$\frac{32}{12},$

and the fraction that represents Bob's rate is:

$\frac{64}{25}\text{.}$

Simplifying the above fractions, we get:

$\begin{gathered} \frac{32}{12}=\frac{8}{3}, \\ \frac{64}{25}=\frac{64}{25}\text{.} \end{gathered}$

Since:

$\frac{8}{3}\ne\frac{64}{25}$

then Bob and Joe did not work at the same rate.

Answer:

No, Bob and Joe did not work at the same rate.