The number of hours walked varies inversely with the speed of the walker. if it takes sam 12 hours to complete his walking goal at 5 miles per hour, how long would it take him at 3 miles per hour?

We let k be the proportionality constant for the relationship between number of hours, h and speed of the walker, s.

h = k/s

Substituting the known values,

12 = k/5

k = 60

For the second scenario,

h = k/s

Substituting the calculated value for k and the given value for speed,

h = (60) (3 miles/hour)

h = 20 hours

h = 20 hours

Therefore, it will take 20 hours to walk with a speed of 3 miles per hour.