Answer:
The answer is 160.2 miles.
Step-by-step explanation:
In order to determine the distance, we have to know the total time that train traveled. We know that the train leaves at 10:40 a.m. and arrives at 1:20 p.m.
So,
10:40 a.m. to 11:00 a.m.=20 minutes
11:00 a.m. to 1:00 p.m.=120 minutes
1:00 p.m. to 1:20 p.m.=20 minutes
Then, the total time is 20+120+20=160 minutes. Also we have to know that the speed is the rate of distance per time. The units are miles per hours, thus 160 min=2.67 hours.
S=speed of the train.
D=distance of the train.
T=total time of the train.
[tex]S=\frac{D}{T}\\60=\frac{D}{2.67}\\D=60*2.67\\D=160.2[/tex]
Finally, the distance between the stations is 160.2 miles.
