Question
Joe worked 4 hours and packed 6 cartons. Bob worked 6 hours and packed 9 cartons. Did Joe and Bob work at the same rate? NO, Joe and Bob did not work at the same rate YES, Joe and Bob worked at the same rate
Ask by Mcfarlane Klein. in the United States
Jan 27,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
Joe and Bob worked at the same rate.
Solution
Yes, Joe and Bob worked at the same rate.
**Calculation:**
- **Joe's Rate:**
\( \frac{6 \text{ cartons}}{4 \text{ hours}} = 1.5 \text{ cartons per hour} \)
- **Bob's Rate:**
\( \frac{9 \text{ cartons}}{6 \text{ hours}} = 1.5 \text{ cartons per hour} \)
Since both Joe and Bob have the same packing rate of **1.5 cartons per hour**, they worked at the same rate.
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Simplify this solution Bonus Knowledge
To determine if Joe and Bob worked at the same rate, we can look at their packing rates per hour. Joe packed 6 cartons in 4 hours, so his rate is 6/4 = 1.5 cartons per hour. Bob packed 9 cartons in 6 hours, giving him a rate of 9/6 = 1.5 cartons per hour. Since both have the same packing rate of 1.5 cartons per hour, they actually worked at the same rate! Now, if you're ever in doubt about comparing rates, just grab a calculator. A little division goes a long way! Also, watch out for the sneaky details—like extra hours lurking around. Always check the context and units when figuring out rates; it’s easy to mix them up!
