Answer:
Mr White will arrive at 5:12 pm or 17:12 hrs
Step-by-step explanation:
Let
y ----> the distance in miles
x ----> the time i hours
we know that
A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form [tex]k=\frac{y}{x}[/tex] or [tex]y=kx[/tex]
In this problem we have a proportional relationship between the variables x and y
The constant of proportionality k is equal to the speed
so
The linear equation is
[tex]y=60x[/tex]
At what time will he arrive if he needs to cover 312 miles?
For y=312 miles
substitute in the equation and solve for x
[tex]312=60x[/tex]
[tex]x=312/60=5.2\ hours[/tex]
[tex]5.2\ h=5+0.2=5+0.2(60)=5\ h\ 12\ m[/tex]
Mr White will arrive at 5:12 pm or 17:12 hrs