Chuck and Dana agree to meet in Chicago for the weekend. Chuck travels 300 miles in the same time that Dana travels 264 miles. If Chuck's rate of travel is 6 mph more than Dana's, and they
Travel the same length of time, at what speed does Chuck travel?
A)58 mph
B)42 mph
C)44 mph
D)50 mph

Question

Quizplus · Accepted Answer

Chuck's speed is 6 mph more than Dana's. Let Dana's speed be x mph, then Chuck's speed is x + 6 mph. Since they travel the same time, we have 300/(x+6) = 264/x. Solving this equation gives x = 44, so Chuck's speed is 44 + 6 = 50 mph.

Chuck and Dana Agree to Meet in Chicago for the Weekend