My friend sets out walking at a speed of $3$ miles per hour. I set out behind her $5$ minutes later at $4$ miles per hour. When I start walking, how many miles has my friend traveled?
When you start walking, your friend has been walking 5 minutes (1/12 hr) at 3 m/hr
Rate x time = distance
3 m/hr x 1/12/hr = 3/12 mile = 1/4 mile