Hello,earachefl!

A North-South highway intersects an East-West highway at a point .

An automobile crosses at 10:00 AM, traveling east at a constant rate of 20 mph.

At that same instant another automobile is two miles north of , traveling south at 50 mph.

(a) Find a formula which expresses the distance between the automobiles

. . .at time (hours) after 10:00 AM.

(b) At what time will the automobiles be 104 miles apart?

I don't agree with either of their answers . . .Code:Q * | 50t | | B * | * d 2-50t | * | * - - P * - - - - - * - - | 20t A |

At 10 AM, the first car is at point .

. . hours later, it is at point

At 10 AM, the second car is at point .

. . hours later, it is at point .

. . Hence: .

Pythagorus says: .

(a) Then we have: .

If

Square both sides: .

Divide by 4: .

Quadratic Formula: .

. .

And the positive root is: .