Problema Solution

Juan drives to work.because of traffic conditions, he averages 22 miles per hour. He returns home averaging 32 miles per hour. The total travel time is 2 1/4 hours.

Answer provided by our tutors

We will use the general equation d=rt (distance=rate*time). Since it is a round trip, we know that the distances are the same. From the given information, we can write:


Drive to work:

d=22t


Drive from work:

d=32(2.25-t)


Using Algebrator to solve for t and d, we get:

t=1 1/3 hr

d= 29 1/3 miles


We can also say that the time to drive home was:

Time home= 2 1/4 - 1 1/3= 11/12 hr