Question

Car A is traveling west at 40 mph and car B is traveling north at 55 mph. Both are departing from the intersection of two roads at the same time. Write a function representing the distance between the two cars in terms of the time , in hours, that has elapsed since the cars left the intersection.

Answer 1

Answer:

$5\sqrt{185}t$

Step-by-step explanation:

after time t (hr), the distance between A and starting point is 40t

the distance between B and starting point is 55t

These two distances are perpendicular to each other, so

the distance between A and B is

$\sqrt{(40t)^2+(55t)^2}=\sqrt{4625t^2}=5\sqrt{185}t$