Chuck and Dana agree to meet in Chicago for the weekend. Chuck travels 236 miles in the same time that Dana travels 224 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?

Remember that distance = rate x time

Chuck: his rate is 3 mph more than Dana
236 = (r+3)t

Dana

224 = rt Since t is the same for both..

236/(r+3) = t

224/4 = t

since the times are the same, set both fractions equal to each other and solve by cross multiplying.