Question

A mile is $5280$ ft long. $1$ ft is approximately $0.305\,$ m. How many meters are there in a
Mile $?$ How many kilometers (km) are there in a mile $?$

Answer 1

Hint:In this question, we are going to find meters and kilometers in a mile.
First, we are going to convert from miles to meters and then, we can convert from miles to kilometers.
Hence we can find the required meters and kilometers from the miles.

Complete step by step answer: In this question, we are going to find meters and kilometers from the miles.
First convert mile into meter:
To convert ft to meters, multiply the feet value by $0.3048$ or divide by $3.280839895\,$
This is the conversion from miles to meters:
$1mile \cdot \dfrac{{5280ft}}{{1mile}} \cdot \dfrac{{0.305m}}{{1ft}} = 5280 \times 0.305m$
$ = 1610$meters approx.
The result is not accurate due to using the approximation of $0.305$ meter per ft.
The actual number is $1609.34$ meters per mile.
One mile is equal to $1610$ meters.
This is the conversion from miles to kilometers:
There are $1000$ m in a kilometer, so divide the above result by $1000$ to get
$1mile \cdot \dfrac{{5280ft}}{{1mile}} \cdot \dfrac{{0.305m}}{{1ft}} \cdot \dfrac{{1km}}{{1000km}}$
$ = \dfrac{{5280}}{{1000}} \times 0.305km$
$ = 1.610km$ approx.
The actual number is $1.60934$ kilometer per mile.
One mile is equal to $1.609$ kilometers
Hence there are $1609.344$ meters in a mile and $1.610$kilometers in a mile.
Therefore, we get the required result.

Note:
Key points to remember while solving this kind of problems
One mile is equal to $5280$ ft
Twelve inch is equal to one ft
$100$ Centimeter is equal to one meter
$1000$ meter is equal to one kilometer.
To convert the larger units to smaller units we multiply the number of larger units by the conversion factor for the appropriate smaller units.
To convert from a smaller unit to a larger unit we divide the number of smaller units by the conversion factor for the appropriate larger units.