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 = 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

The correct option is d.

Step-by-step explanation:

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

Car A:

            ... (1)

Car B:

           .... (2)

Equate equation (1) and (2), to find the hours after which the two cars be at the same distance from their starting point.

The value of x is 3. It means after 3 hours two cars be at the same distance from their starting point.

Substitute x=3 in equation (1) to find the distance.

The distance is 190 miles.

Therefore option d is correct.