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:

`(1760 yards)/(1 mile)`

Thus, distance covered in marathon in yard will be:

`d=26.2 mile((1760 yards)/(1 mile))=46112 yards`

Therefore, distance of the race is 46112 yards.