.
paul traveled to lexington at 70 mph. on the way back he averages 55 mph. the way back was 86 miles longer and took 2.6 hours longer
to drive. how long did it take to drive to lexington
~~~~~~~~~~~~~~~~~~~~~~~~~~
70*t + 86 = 55*(t+2.6), (t = time to Lexington at 70 mph)
70t + 86 = 55t + 143,
15t = 143 - 86,
15t = 57,
t = hours = hours = 3 hours 48 minutes.
Answer. 3 hours and 48 minutes