Question

Given that 1mi=1760yd, determine what conversion factor is appropriate to convert 1849yd to miles; to convert 2,781mi to yards.

Answer 1

Question 1

We know that:

$$\frac{1760\ \text{yd}}{1\ \text{mi}} = 1 \Rightarrow 1\ \text{yd} = \frac{1}{1760}\ \text{mi} \Rightarrow 1849\ \text{yd} = 1849 \cdot \frac{1}{1760}\ \text{mi} \approx 1.051\ \text{mi}.$$

So, the conversion factor is $\frac{1}{1760}$.

Answer: $\frac{1}{1760}$

Question 2

We know that:

$$\frac{1760\ \text{yd}}{1\ \text{mi}} = 1 \Rightarrow 1\ \text{mi} = 1760\ \text{yd} \Rightarrow 2781\ \text{mi} = 2781 \cdot 1760\ \text{yd} = 4894560\ \text{yd}.$$

So, the conversion factor is $1760$.

Answer: $1760$.