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.

for the first question it would be the second answer for the second question it would be the third answer and for the third question it would be the first answer

step-by-step explanation: