Question

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

Car A: y = 45x + 20
Car B: y = 35x + 60
After how many hours will the two cars be at the same distance from their starting point and what will the distance be?
3 hours, 200 miles
3 hours, 180 miles
4 hours, 200 miles
4 hours, 180 miles

Answer 1

45x 20 35x 60 45x 35x + 40 10X 40 4 heures 45 (4) 20 4 heures, 200 milles

Answer 2

45x+20 = 35x+60

45x = 35x+40

10x = 40

x = 4 hours

45(4)+20 = 200

4 hours, 200 miles