Business trip of 325.5 miles. Averaged 49 mph for the first part of the trip and 58 mph for the second part. If the trip took 6 hrs, how long was traveled?

Let t = travel time at 58

and

(6-t) = travel time at 49

distance at 58 + distance at 49 = 325.5 mi

58t + 49 (6-t) = 325.5

58t + 294 - 49t = 325.5

9t+294 = 325.5

9t = 31.5

T = 31.5/9 = 3.5 hours at 58 mph

6-3.5 = 2.5 hours at 49 mph

Check:

58*3.5 = 203

49*2.5 = 122.5

203+122.5 = 325.5