Inequalities problem solving
Brandon and Pat drove from Edmonton to Saskatoon a distance of 545km. Brandon drove the first part of the trip at an average speed of 100km/h, and Pat drove the remainder at an average speed of 90km/h. If the trip took Brandon and Pat 5.75h, determine the number of hours each drove.
I'm so lost, I have to make two inequalities, maybe on and I have no idea where to start, can anybody help?
Thank you.
This is not about inequalities
Let B = number miles Brandon drove, and
let P = number of miles Pat drove.
We can write one equation about kilometers:
Bx100 + Px90 = 545.
We can also write one equation about hours:
B + P = 5.75
From this second, we can write: B = 5.75 - P.
We can substitute that into the first equation for B,
and solve for P:
Bx100 + Px90 = 545 becomes
(5.75 - P)x100 + Px90 = 545.
From that we get P = 3.
Since B + P = 5.75, then B = 2.75.