Answer:
y = 15x
11x + y = 286
where
y = number of miles driven by the truck driver
x = number of hours the truck driver drives
Solving this gives, x = 11 hours and y = 165 miles.
Step-by-step explanation:
Let the number of hours the truck driver drives be x.
Let the number of miles driven by the truck driver be y.
Since the truck driver drives at 15 miles per hour, the number of miles covered by the driver y, can be given from the speed equation.
Speed = (distance/time)
15 = (y/x)
y = 15x.
And the drivers are paid $11 per hour of driving and also has an expense of $1 per mile driven for gas and maintenance.
Meaning that on a day that the truck driver drives y miles for x hours, the total pay, C, is given as
C = 11x + 1y = 11x + y
So, on this fateful day, the total amount paid to a truck driver was $286
So, C = $286
11x + y = 286.
So, the two equations for the scenarios are
y = 15x
11x + y = 286
Solving this gives, x = 11 hours and y = 165 miles.
Hope this Helps!!!
