Question

The time it takes you to get to campus varies inversely as your driving rate. averaging 20 miles per hour in terrible​ traffic, it takes you 1.25 hrs to get to campus. how long would the trip take averaging 55 miles per​ hour?

Answer 1

given that the time taken to get to campus is inversely proportional to driving rate, let the time be t and rate be r, thus the function will be written as:'
t=k/r
where
k is the constant of proportionality given by:
k=tr
when r=20 mph, t=1.25 hrs
thus
k=20×1.25
k=25 miles
thus the formula is:
t=25/r
when r=55 mph, the value of t will be:
t=25/55
t=5/11 hours