Question

Complete each statement.
1. 9 gal/s = ___ qt/min
2. 5.5 days = __ min
3. 50 yd= _____m
4. 10mi/hr = ____m/min

Answer 1

Let's convert each measurement step by step.

1. **9 gal/s = ___ qt/min**
- There are 4 quarts in a gallon. Therefore,
\[
9 \, \text{gal/s} \times 4 \, \text{qt/gal} = 36 \, \text{qt/s}
\]
- To convert seconds to minutes (1 minute = 60 seconds),
\[
36 \, \text{qt/s} \times 60 \, \text{s/min} = 2160 \, \text{qt/min}
\]
- So, **9 gal/s = 2160 qt/min**.

2. **5.5 days = __ min**
- There are 24 hours in a day, and 60 minutes in an hour. Thus:
\[
5.5 \, \text{days} \times 24 \, \text{hours/day} \times 60 \, \text{min/hour} = 7920 \, \text{min}
\]
- So, **5.5 days = 7920 min**.

3. **50 yd = _____m**
- The conversion factor from yards to meters is 1 yard ≈ 0.9144 meters. Therefore,
\[
50 \, \text{yd} \times 0.9144 \, \text{m/yd} = 45.72 \, \text{m}
\]
- So, **50 yd = 45.72 m**.

4. **10 mi/hr = ____m/min**
- The conversion factors are: 1 mile ≈ 1609.34 meters and 1 hour = 60 minutes. Thus,
\[
10 \, \text{mi/hr} \times 1609.34 \, \text{m/mi} = 16093.4 \, \text{m/hr}
\]
- Now convert hours to minutes:
\[
16093.4 \, \text{m/hr} \div 60 \, \text{min/hr} \approx 268.224 \, \text{m/min}
\]
- So, **10 mi/hr ≈ 268.224 m/min**.

In summary:
1. 9 gal/s = **2160 qt/min**
2. 5.5 days = **7920 min**
3. 50 yd = **45.72 m**
4. 10 mi/hr = **268.224 m/min**