# SOLUTION: A commuter bus takes 2 hours to get downtown; an express bus, averaging 25mph faster, takes 45 minutes to cover the same route. What is the average speed for the commuter bus?

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 Question 566100: A commuter bus takes 2 hours to get downtown; an express bus, averaging 25mph faster, takes 45 minutes to cover the same route. What is the average speed for the commuter bus?Answer by htmentor(789)   (Show Source): You can put this solution on YOUR website!A commuter bus takes 2 hours to get downtown; an express bus, averaging 25mph faster, takes 45 minutes to cover the same route. What is the average speed for the commuter bus? ============================ Let s = the speed of the commuter bus Let d = the distance traveled by both buses Since distance = speed x time, we can write: d = 2s [for the commuter bus] d = 3/4(s+25) [for the express bus; 45 min. = 3/4 hr; 25 mph faster] Equating the RHS's gives 2s = 3/4(s+25) Solve for s: 2s - (3/4)s = 75/4 5s/4 = 75/4 s = 75/5 = 15 mph Ans: 15 mph