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

Answer:

$\frac{16}{15}$

Step-by-step explanation:

The number of stride Jim takes to walk a mile is  $\frac{5280}{2\frac{1}{2}}=2112$ strides

The number of strides Jeffrey takes to walk a mile is  $\frac{5280}{2\frac{2}{3}}=1980$ strides

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

$\frac{2112}{1980}=1\frac{1}{15}$