Question

The distances (y), in miles, of two cars from their starting points at certain times (x), in hours, are shown by the equations below:

Car A
y = 55x + 32

Car B
y = 42x + 58

After how many hours will the two cars be at the same distance from their starting point and what will that distance be?
2 hours, 142 miles
2 hours, 145 miles
3 hours, 142 miles
3 hours, 145 miles

Answer 1

please help!!

Answer 2

i will medal

Answer 3

and fan

Answer 4

please help

Answer 5

hi welcome to openstudy @dboy28 ! :)

" how many hours will the two cars be at the \(\sf \color{red}{same}\) distance "
since y is represents the distance of those two cars and the question is asking for the time when the cars are at the same value of y, we can set the equation equal.

It will look like this:

car A = car B
55x + 32 = 42x + 58

now, you have to calculate for the value of 'x' by collecting like terms and simplifying it, can you do that?

Answer 6

are you still there?