Question

Here, 1 km is equal to how many miles?

Answer 1

Hint: In the above given question, we are given an amount of length of one kilometre. The unit of kilometre is denoted by the letters km. We have to determine how much length it becomes when we measure the length in the units of miles, that is denoted by the letters mi. These two units, namely the kilometre and miles respectively, are both the units of distance. Both these units of distance are used at different places according to their usage and the convenience.

Complete answer:
We are given an amount of length that is $$1$$ kilometre or $$1$$ km.
We have to determine the above given amount in the units of miles i.e. mi.
In order to approach the solution, we have to use the method of unit conversion from the units of kilometers to miles.
Now since, we know that one mile is approximately equal to the amount of length of $$1.60934$$ kilometres.
Hence, mathematically we can write it as,
$$\Rightarrow 1mi=1.60934km$$
Therefore, dividing both sides by $$1.60934$$ , we get the above equation as
$$\Rightarrow {\displaystyle \frac{1}{1.60934}}mi=1km$$
By solving the above equation, we can also write it as,
$$\Rightarrow {\displaystyle \frac{100000}{160934}}mi=1km$$
That gives us,
$$\Rightarrow {\displaystyle \frac{100000}{160934}}mi=1km$$
That is,
$$\Rightarrow 6.2135mi=1km$$
Hence,
$$\Rightarrow 1km=6.2135mi$$
That is the required relation between the two units of distance which are kilometers and miles.
Therefore, $$1$$ kilometre is equal to $$6.2135$$ miles .

Note:
However, the two measurement units, kilometre and miles are both the two different measuring units for distance, but the standard unit for the measurement of distance i.e. the S.I. The unit of distance is metres denoted by the symbol $$m$$ . The length of one metre is equal to the thousandth part of a kilometre.
Mathematically, we have
$$\Rightarrow 1m={\displaystyle \frac{1}{1000}}km$$
Or,
$$\Rightarrow 1km=1000m$$