Question

The distance between Fayetteville and Van Buren is 45 miles. How far is this in kilometres?

Answer 1

Hint: From the above question they mentioned that the distance between Fayetteville and Van Buren is 45 miles and we need to calculate the distance in kilometres. For solving this question we need to know the relationship between miles and kilometers and the relationship between them is
1 mile=1.609344 kilometres(km)
Using rounded to 1 decimal place we get:
1 mile=1.6 kilometres(km)

Complete step by step solution:
Given that the distance between Fayetteville and Van Buren is 45 miles, then the distance between Fayetteville and Van Buren in kilometres becomes:
We have
1 mile=1.6 kilometres(km)
From the above equation relation between the miles and kilometres becomes
\[\dfrac{kilometers}{miles}\to \dfrac{1.6}{1}\]
From the question we know that the distance between Fayetteville and Van Buren in miles is 45.and what will be the distance in kilometres?
To know the distance in kilometres we need to follow the following procedure
We need for 45 miles:
\[\dfrac{kilometers}{miles}\to \dfrac{1.6}{1}\]
Multiply by 1 but in the form of 1 = \[\dfrac{45}{45}\]
\[\dfrac{kilometers}{miles}\to \dfrac{1.6}{1}\]\[\times 1\]
 \[\Rightarrow \]\[\dfrac{1.6}{1}\times \dfrac{45}{45}\] = \[\dfrac{72}{45}\]
From the above equation it is clear that if the distance travelled in miles is 45, then the distance travelled in kilometres is 72.
So in kilometres the distance between Fayetteville and Varun Buren is:
Distance in kilometres = \[1.6\times 45\] = 72 kilometres

Therefore the distance between Fayetteville and Van Buren is 72 kilometres.

Note: Students should know the relationship between different measurements like miles and kilometres
1 mile = 1.6 kilometres.
1 kilometre = 0.625 miles.
Students must be aware of the conversion table of measurements. Students must be very careful while doing calculations.