If Clarence drives 60 miles per hour, it will take him 2 hours to drive from home the nearest city. How many minutes longer will it take to make the trip to the city if he drives 48 miles per hour.

Answer 1

Let's write down the specifics we know first:

v0 = 60

t0 = 2

v1 = 48

And in general:

velocity = distance / time

We have two equations, related by a shared distance:

v0 = d / t0

v1 = d / t1

Solving both for d:

d = v0*t0

d = v1*t1

We'd like to find t1, though.

v0*t0 = v1*t1

t1 = v0/v1*t0

Plug in the known values:

t1 = 60/48*2

t1 = 2.5

The slower trip will take 2.5 hours, or half an hour longer than the faster trip.