Question

A marathon covers a distance of 26.2 miles. If 1 mile is equivalent to exactly 1760 yards, what is the distance of the race in yards? Use dimensional analysis.

Answer 1

Both mile and yard are units of distance thus they are inter convertible.

Distance covered in a marathon is 26.2 miles.

Since, 1 mile=1760 yards

Thus, distance can be converted into yards using the following conversion factor:

$\frac{1760 yards}{1 mile}$

Thus, distance covered in marathon in yard will be:

$d=26.2 mile(\frac{1760 yards}{1 mile})=46112 yards$

Therefore, distance of the race is 46112 yards.