Solve the problem.
-Chuck and Dana agree to meet in Chicago for the weekend. Chuck travels 180 miles in the same time that Dana travels 165 miles. If Chuckʹs rate of travel is 3 mph more than Danaʹs, and they
Travel the same length of time, at what speed does Chuck travel?
A) 33 mph
B) 29 mph
C) 43 mph
D) 36 mph

Question

Quizplus · Accepted Answer

Let x be Dana's speed in mph. Then Chuck's speed is x + 3 mph. Using the formula: time = distance/speed, we can set up the following equation:

180/(x+3) = 165/x

Cross-multiplying and simplifying, we get:

180x = 165(x+3)

180x = 165x + 495

15x = 495

x = 33

So Dana's speed is 33 mph and Chuck's speed is x + 3 = 36 mph. Therefore, the answer is D.

Solve the Problem. -Chuck and Dana Agree to Meet in Chicago for the Chicago