What is the conversion of 4 miles and 340 yards to kilometers?

What is the conversion of 4 miles and 340 yards to kilometers?

• A. 6.123 km
• B. 6.748 km
• C. 7.482 km
• D. 5.592 km

Answer: (B)

To convert 4 miles and 340 yards to kilometers, you first need to convert both miles and yards to a common unit, which is primarily meters or kilometers. 1. Start with the conversion of miles to kilometers. The conversion factor for miles to kilometers is approximately 1 mile equals 1.60934 kilometers. Therefore, for 4 miles: \[ 4 \text{ miles} \times 1.60934 \text{ km/mile} = 6.43736 \text{ km} \] 2. Next, convert yards to kilometers. There are 1,760 yards in a mile, so: \[ 340 \text{ yards} \div 1760 \text{ yards/mile} = 0.1938636 \text{ miles} \] Now, convert this to kilometers: \[ 0.1938636 \text{ miles} \times 1.60934 \text{ km/mile} = 0.311266 \text{ km} \] 3. Now, add the two conversions together: \[ 6.43736 \text{ km} + 0.311

To convert 4 miles and 340 yards to kilometers, you first need to convert both miles and yards to a common unit, which is primarily meters or kilometers.

1. Start with the conversion of miles to kilometers. The conversion factor for miles to kilometers is approximately 1 mile equals 1.60934 kilometers. Therefore, for 4 miles:

[

4 \text{ miles} \times 1.60934 \text{ km/mile} = 6.43736 \text{ km}

]

2. Next, convert yards to kilometers. There are 1,760 yards in a mile, so:

[

340 \text{ yards} \div 1760 \text{ yards/mile} = 0.1938636 \text{ miles}

]

Now, convert this to kilometers:

[

0.1938636 \text{ miles} \times 1.60934 \text{ km/mile} = 0.311266 \text{ km}

]

3. Now, add the two conversions together:

[

6.43736 \text{ km} + 0.311