Question

The distance (y), in miles, of two cars from their starting points at certain times (x), in hours, are shown by equations below:
CAR A: y = 60x + 10
CAR B: y = 40x + 70

After how many hours will the two cars be at the same distance from their starting point and what will that distance be?

A. 2 hours, 150 miles
B. 2 hours, 190 miles
C. 3 hours, 150 miles
D. 3 hours, 190 miles

Answer 1

@Mehek14

Answer 2

let's first solve for x
\(60x+10=40x+70\)
subtract 10
\(60x=40x+60\)
subtract 40x
\(20x=60\)
divide by 20
\(x=3\)
so option A and B are out

Answer 3

now we solve for y by putting 3 for x in the equation

Answer 4

\(y=60*3+10\\
60*3=180\\
180+10=190\\
y=190\)

Answer 5

so D

Answer 6

@itsmee

Answer 7

ohh okaay thanksss sooo muchh