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 = 45x + 20

Car B
y = 35x + 60

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

3 hours, 200 miles

3 hours, 180 miles

4 hours, 200 miles

4 hours, 180 miles

Answer 1

If you would like to find the amount of hours and the distance, you can calculate this using the following steps:

y = y
45x + 20 = 35x + 60
45x - 35x = 60 - 20
10x = 40
x = 40 / 10
x = 4 hours

y = 45x + 20 = 45 * 4 + 20 = 200 miles
y = 35x + 60 = 35 * 4 + 60 = 200 miles

The correct result would be 4 hours, 200 miles.