Answer:
The train need to leave Portland at 03:27 am
Step-by-step explanation:
step 1
Find out how long it takes the train to travel from Portland, Oregon, to Los Angeles, California
Remember that
The speed is equal to divide the distance by the time
so
The time is equal to divide the distance by the speed
Let
s ---> the speed in miles per hour
d ---> the distance in miles
t ---> the time in hours
[tex]t=\frac{d}{s}[/tex]
we have
[tex]d=963\ mi[/tex]
[tex]s=60\ mi/h[/tex]
substitute
[tex]t=\frac{963}{60}=16.05\ hours[/tex]
step 2
Adds 30 minutes (time it takes to get from the train station to her aunt's house)
Remember that
[tex]30\ minutes=0.50\ hours[/tex]
[tex]16.05+0.50=16.55\ hours[/tex]
Convert to minutes
[tex]16.55\ h=16.55(60)\ min=993\ min[/tex]
step 3
Remember that
[tex]8 p.m=20:00\ hrs[/tex]
Convert to minutes
[tex]20(60)=1,200\ min[/tex]
Subtract 993 minutes from 1,200 minutes
[tex]1,200-993=207\ min[/tex]
Convert to hours+minutes
[tex]207\ min=207/60=3.45\ hours[/tex]
[tex]0.45\ h=0.45(60)=27\ min[/tex]
so
[tex]3\ h+27\ min[/tex]
[tex]00:00 + 03:27=03:27\ am[/tex]
therefore
The train need to leave Portland at 03:27 am
