College algebra

Question

Julian From from college travelling the average speed of 65.4 miles per hour and drove back to the college the following weekend average speed of 61.7 miles per hour. if they told around trip took 12 hours how much time did it take Julian to drive from home back to college? Expressed the time in hours in minutes round to the nearest minute.

Answer 1

distance = speed times time

d=rt

since d is the same in both directions

rt = rt where T = time going home and 12-T = time coming back to the college

65.4T = 61.7(12-T) where T<12-T, time is shorter going home, slightly

(65.4+61.7)T = 61.7(12)

127.1T = 61.7(12)

T =61.7(12)/127.1 = 5.8253 hours

12-T = 6.1747 hours going to the college

12-T = 6 hours and 10.4 minutes