Answer:
In 3 hours Clint will catch up with Sue
Step-by-step explanation:
Let
x -----> the time in hours
y ----> the distance in miles
Remember that
The speed is equal to divide the distance by the time
so
The distance is equal to multiply the speed by the time
The linear equation in slope intercept form is equal to
[tex]y=mx+b[/tex]
where
m is the slope or unit rate
b is the y-intercept or initial value
In this problem
Clint's equation
The slope is equal to the speed
so
[tex]m=60\ mph[/tex]
The y-intercept is equal to 0 miles (at the time x=0, the distance traveled is zero)
[tex]b=0[/tex]
substitute
[tex]y=60x[/tex] ----> equation A
Sue's equation
The slope is equal to the speed
so
[tex]m=40\ mph[/tex]
The y-intercept is equal to 60 miles (at the time x=0, the distance traveled is 60 miles)
[tex]b=60\ miles[/tex]
substitute
[tex]y=40x+60[/tex] -----> equation B
Equate equation A and equation B
[tex]60x=40x+60[/tex]
Solve for x
[tex]60x-40x=60[/tex]
[tex]20x=60[/tex]
[tex]x=3\ hours[/tex]
therefore
In 3 hours Clint will catch up with Sue
