Q:

It takes Mike 1 hour to get to work each day. He first rides the train, which travels at an average rate of 65 miles per hour. Then he rides the subway train, which travels at an average rate of 25 miles per hour. If the total distance that he travels from home to work is 61 miles, how many minutes does Mike spend riding the subway each morning?its has to be in minutes

Accepted Solution

A:
Answer:Time_subway = 6 minutesStep-by-step explanation:Total time to get to work = 1 hourTotal_distance = 61 milesSpeed_train = 65 miles/hSpeed_subway = 25 miles/hThe fomula for speed is defined asSpeed = distance/ time, which means thatTime = distance/speedTotal_time = time_train + time_subway Total_time  =  (distance_train/Speed_train) +                            (distance_subway/Speed_subway )1h = (distance_train/65) + (distance_subway/25 )We also know thatTotal_distance = 61 miles =  distance_train + distance_subwayWe solve the system of two equations1 = (distance_train/65) + (distance_subway/25 )61 =  distance_train + distance_subwayWe obtain thatdistance_train  = 58.5 milesdistance_subway = 2.5 milesSo the time spent on the subway ist_sub =  (2.5 mi/25  mi/h) = 0.1 h 0.1 h is equal to 6 minutes