Lesson 3 Skills Practice Convert Unit Rates Answer Key - Fill ... - Free Printable

You’ve uploaded a worksheet titled “Lesson 3: Extra Practice — Convert Unit Rates / Number and Show Work if necessary”. The task is to convert various unit rates, rounding to the nearest hundredth if needed.

I’ll solve each problem step-by-step with clear explanations.

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1. 55 mi/h = ______ ft/s

We need to convert miles per hour to feet per second.

Conversion factors:
- 1 mile = 5280 feet
- 1 hour = 3600 seconds

So:
> 55 mi/h × (5280 ft / 1 mi) × (1 h / 3600 s)

Calculate:
> 55 × 5280 = 290,400
> 290,400 ÷ 3600 ≈ 80.67 ft/s

✔ Answer: 80.67 ft/s

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2. 8 gal/h = ______ pt/min

Convert gallons per hour to pints per minute.

Conversion factors:
- 1 gallon = 8 pints
- 1 hour = 60 minutes

So:
> 8 gal/h × (8 pt / 1 gal) × (1 h / 60 min)

Calculate:
> 8 × 8 = 64
> 64 ÷ 60 ≈ 1.07 pt/min

✔ Answer: 1.07 pt/min

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3. 12 yd/min = ______ ft/h

Convert yards per minute to feet per hour.

Conversion factors:
- 1 yard = 3 feet
- 1 hour = 60 minutes

So:
> 12 yd/min × (3 ft / 1 yd) × (60 min / 1 h)

Calculate:
> 12 × 3 = 36
> 36 × 60 = 2160 ft/h

✔ Answer: 2160 ft/h

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4. 50 g/cm = ______ kg/m

Convert grams per centimeter to kilograms per meter.

Conversion factors:
- 1 kg = 1000 g → so divide by 1000
- 1 m = 100 cm → so multiply by 100

So:
> 50 g/cm × (1 kg / 1000 g) × (100 cm / 1 m)

Calculate:
> 50 × 100 = 5000
> 5000 ÷ 1000 = 5 kg/m

✔ Answer: 5 kg/m

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5. 15 qt/h = ______ gal/min

Convert quarts per hour to gallons per minute.

Conversion factors:
- 1 gallon = 4 quarts
- 1 hour = 60 minutes

So:
> 15 qt/h × (1 gal / 4 qt) × (1 h / 60 min)

Calculate:
> 15 ÷ 4 = 3.75
> 3.75 ÷ 60 = 0.0625 → rounded to nearest hundredth: 0.06 gal/min

✔ Answer: 0.06 gal/min

*(Note: If your teacher expects more precision, you might write 0.06, but technically 0.0625 rounds to 0.06)*

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6. 7 lb/s = ______ oz/h

Convert pounds per second to ounces per hour.

Conversion factors:
- 1 pound = 16 ounces
- 1 hour = 3600 seconds

So:
> 7 lb/s × (16 oz / 1 lb) × (3600 s / 1 h)

Calculate:
> 7 × 16 = 112
> 112 × 3600 = 403,200 oz/h

✔ Answer: 403,200 oz/h

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7. 50 mi/h = ______ ft/h

Convert miles per hour to feet per hour.

Conversion factor:
- 1 mile = 5280 feet

So:
> 50 mi/h × 5280 ft/mi = 264,000 ft/h

✔ Answer: 264,000 ft/h

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8. 36 mi/h = ______ ft/min

Convert miles per hour to feet per minute.

Conversion factors:
- 1 mile = 5280 feet
- 1 hour = 60 minutes

So:
> 36 mi/h × (5280 ft / 1 mi) × (1 h / 60 min)

Calculate:
> 36 × 5280 = 190,080
> 190,080 ÷ 60 = 3168 ft/min

✔ Answer: 3168 ft/min

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9. The winner in a recent Los Angeles Marathon ran the 26-mile race in 2.25 hours. How many yards per minute did he run? Round to the nearest hundredth.

First, find total distance in yards:
> 26 miles × 1760 yards/mile = 45,760 yards

Time = 2.25 hours = 2.25 × 60 = 135 minutes

Now, rate = distance ÷ time:
> 45,760 ÷ 135 ≈ 338.96 yards/minute

✔ Answer: 338.96 yd/min

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10. A swimming pool can be filled at the rate of 25 liters per minute using a special pump. How long will it take to fill a pool that holds 5,000 liters of water? Round to the nearest hundredth.

Rate = 25 L/min
Total volume = 5,000 L

Time = Total Volume ÷ Rate
> 5000 ÷ 25 = 200 minutes

Since 200 is a whole number, no rounding needed.

✔ Answer: 200.00 minutes

*(Note: “Round to nearest hundredth” — 200.00 is already correct.)*

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11. A water plant can process 22 million gallons of water a day. How many gallons of water does it process per hour? Round to the nearest hundredth.

Total per day = 22,000,000 gallons
Hours in a day = 24

Rate per hour = 22,000,000 ÷ 24 ≈ 916,666.67 gallons/hour

✔ Answer: 916,666.67 gal/h

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## ✔ Final Answers Summary:

1. 80.67 ft/s
2. 1.07 pt/min
3. 2160 ft/h
4. 5 kg/m
5. 0.06 gal/min
6. 403,200 oz/h
7. 264,000 ft/h
8. 3168 ft/min
9. 338.96 yd/min
10. 200.00 minutes
11. 916,666.67 gal/h

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