Tinley is training to run a half-marathon. She sets a pace so that every mile takes 7 minutes. Write an equation for the amount of time, t, it takes Tinley to run m miles.

By definition, it is known that distance equals speed by time.

We have then

d = v * t

Clearing t, we have:

t = (d) / (v)

Then, we have that she runs at a speed of

v = 1/7 mi / min

Substituting the values we have

t = (d) / (v)

t = (m) / ((1/7))

Rewriting

t = 7m

answer

an equation for the amount of time, t, it takes Tinley to run m miles is

t = 7m