Answer:
Time_subway = 6 minutes
Step-by-step explanation:
Total time to get to work = 1 hour
Total_distance = 61 miles
Speed_train = 65 miles/h
Speed_subway = 25 miles/h
The fomula for speed is defined as
Speed = distance/ time, which means that
Time = distance/speed
Total_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 that
Total_distance = 61 miles = distance_train + distance_subway
We solve the system of two equations
1 = (distance_train/65) + (distance_subway/25 )
61 = distance_train + distance_subway
We obtain that
distance_train = 58.5 miles
distance_subway = 2.5 miles
So the time spent on the subway is
t_sub = (2.5 mi/25 mi/h) = 0.1 h
0.1 h is equal to 6 minutes
