Question

Jim's stride measures $2\frac{1}{2}$ feet, and Jeffrey's stride measures $2\frac{2}{3}$ feet. There are 5280 feet in a mile. If Jim and Jeffrey each walk one mile, what is the ratio of the number of strides Jim takes to the number of strides Jeffrey takes? Express your answer as a common fraction.

Answer 1

`(16)/(15)`

Explanation:

The number of stride Jim takes to walk a mile is
`(5280)/(2(1)/(2))=2112` strides

The number of strides Jeffrey takes to walk a mile is
`(5280)/(2(2)/(3))=1980` strides

Hence, ratio of number of strides of Jim to number of strides of Jeffrey is:

`(2112)/(1980)=1(1)/(15)`