Problema Solution

Chuck and Dana agree to meet in Chicago for the weekend. Chuck travels 171 miles in the same time that Dana travels 162 miles. If Chuck's rate of travel is 3 mph more than Dana's, and they travel the same length of time, at what speed does Chuck travel?

Answer provided by our tutors

Let DAna's velocity =x

So chuck's speed = x+3

So (171/x+3)=(162/x)

or 171x=162x+486

or 9x=486

or x=486/9= 54 m/h

So Dana's speed = 54

and Chuck's speed = 54+3=57