Let's solve each of these
unit rate word problems step by step. A
unit rate is a rate where the second quantity is 1 (e.g., miles per hour, pounds per day). We'll divide the total amount by the total time to find the unit rate.
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1. Jaguar eating meat
-
Given: 15 pounds in 5 days
-
Unit rate: pounds per day
$$
\frac{15 \text{ pounds}}{5 \text{ days}} = 3 \text{ pounds per day}
$$
✔ Answer: 3 pounds per day
---
2. Monkey picking bananas
-
Given: 120 bananas in 6 hours
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Unit rate: bananas per hour
$$
\frac{120 \text{ bananas}}{6 \text{ hours}} = 20 \text{ bananas per hour}
$$
✔ Answer: 20 bananas per hour
---
3. Explorer hiking
-
Given: 10 miles in 2 hours
-
Unit rate: miles per hour
$$
\frac{10 \text{ miles}}{2 \text{ hours}} = 5 \text{ miles per hour}
$$
✔ Answer: 5 miles per hour
---
4. Snake slithering
-
Given: 18 feet in 3 minutes
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Unit rate: feet per minute
$$
\frac{18 \text{ feet}}{3 \text{ minutes}} = 6 \text{ feet per minute}
$$
✔ Answer: 6 feet per minute
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5. Toucan flying
-
Given: 120 miles in 4 hours
-
Unit rate: miles per hour
$$
\frac{120 \text{ miles}}{4 \text{ hours}} = 30 \text{ miles per hour}
$$
✔ Answer: 30 miles per hour
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6. River flow
-
Given: 45 cubic feet per minute
-
Convert to cubic feet per second:
There are 60 seconds in a minute, so:
$$
\frac{45 \text{ ft}^3}{1 \text{ min}} = \frac{45}{60} = 0.75 \text{ ft}^3 \text{ per second}
$$
✔ Answer: 0.75 cubic feet per second
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7. Chimpanzees gathering fruit
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Given: 150 fruits in 10 hours
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Unit rate: fruits per hour
$$
\frac{150 \text{ fruits}}{10 \text{ hours}} = 15 \text{ fruits per hour}
$$
✔ Answer: 15 fruits per hour
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8. Sloth climbing
-
Given: 12 feet in 6 minutes
-
Unit rate: feet per minute
$$
\frac{12 \text{ feet}}{6 \text{ minutes}} = 2 \text{ feet per minute}
$$
✔ Answer: 2 feet per minute
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9. Parrots eating nuts
-
Given: 30 pounds in 3 days
-
Unit rate: pounds per day
$$
\frac{30 \text{ pounds}}{3 \text{ days}} = 10 \text{ pounds per day}
$$
✔ Answer: 10 pounds per day
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10. River otter swimming
-
Given: 90 meters in 9 minutes
-
Unit rate: meters per minute
$$
\frac{90 \text{ meters}}{9 \text{ minutes}} = 10 \text{ meters per minute}
$$
✔ Answer: 10 meters per minute
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✔ Final Answers:
1. 3 pounds per day
2. 20 bananas per hour
3. 5 miles per hour
4. 6 feet per minute
5. 30 miles per hour
6. 0.75 cubic feet per second
7. 15 fruits per hour
8. 2 feet per minute
9. 10 pounds per day
10. 10 meters per minute
Let me know if you'd like this formatted as a printable answer sheet!
Parent Tip: Review the logic above to help your child master the concept of unit rate 6th grade worksheet.
