Q:

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.

Accepted Solution

A:
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