Wendy took a trip from one city to another, a distance of 580 mi. she traveled part of the way by bus, which arrived at the train station just in time for wendy to complete her journey by train. the bus averaged 40 mi/h, and the train averaged 80 mi/h. the entire trip took 9 1 2 h. how long did wendy spend on the train?

If he traveled x mi by bus, then the time taken using bus is x/40 hours
and therefore, she took (580-x) mi by train, thus the time taken with train was (580-x)/80 hours.
Hence, x/40 +(580-x)/80 = 9.5 hours
             80(x/40) +80 (580-x)/80 =  (9.5)80
                = 2x + 580-x = 760
                              x= 760-580
                              x = 180
Thus the train covered a distance of  (580-x) =580-180 = 400
Hence, Wendy took 400/80 = 5 hours on the train