Two cars traveling in the same direction?

Question

cars traveling toward one another from 450 miles apart, one at 50mph and one at 60mph, where will they meet?

Answer 1

Both given answers are correct

Answer 2

Let x = distance traveled by faster car

Let y = distance traveled by slower car

x = 60t

y = 50t

However, if distance is measured from the start pt of x

x = 60t

y = 450 - 50t

60t = 450 - 50t

110t = 450

t = 450/110 = 45/11

the two cars will meet after 45/11 hours

they will meet 60*(45/11) = 245.5 miles from where the faster car started.

Answer 3

D = 60t

t = D/60

450 - D = 50t

D + 50t = 450

D + 5D/6 = 450

D = 450(6)/11

D = 245.45 miles for 60 MPH car

and 450 - 245.45 = 204.55 miles for 50 MPH car