SOLUTION: paul traveled to lexington at 70 mph. on the way back he averages 55 mph. the way back was 86 miles loner and took 2.6 hours longer to drive. how long did it take to drive to lexin

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Question 1048214: paul traveled to lexington at 70 mph. on the way back he averages 55 mph. the way back was 86 miles loner and took 2.6 hours longer to drive. how long did it take to drive to lexington
Answer by ikleyn(52833) About Me  (Show Source):
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paul traveled to lexington at 70 mph. on the way back he averages 55 mph. the way back was 86 miles highlight%28cross%28loner%29%29 longer and took 2.6 hours longer
to drive. how long did it take to drive to lexington
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70*t + 86 = 55*(t+2.6),    (t = time to Lexington at 70 mph)

70t + 86 = 55t + 143,

15t = 143 - 86,

15t = 57,

t = 57%2F15 hours = 312%2F15 hours = 3 hours 48 minutes.

Answer.  3 hours and 48 minutes