Question

Please help with this question!!

The distance, d, that a certain car is from Math City after h hours, can be determined by the equation d=45h. The distance that a second car is from Math City can be determined by the equation d=25h+80. After how many hours will the two cars be the same distance from the Math City?

Answer 1

4 hours

Explanation:

First car distance

d = 45h

Second car distance

d = 25h + 80

After how many hours will the two cars be the same distance from the Math City?

Equate both car's distances

45h = 25h + 80

Collect like terms

45h - 25h = 80

20h = 80

Divide both sides by 20

h = 80 / 20

= 4

h = 4 hours

The two cars will be at the same distance from the Math City in 4 hours