Two ufpd are patrolling the campus on foot. to cover more ground, they split up and begin walking in different directions. office a is walking at 5 mph directly south while office b is walking at 6 mph directly west. how long would they need to walk before they are 2 miles away from each other?

0.256 hours

Explanation:

Vectors in the plane

We know Office A is walking at 5 mph directly south. Let be its distance. In t hours he has walked

Office B is walking at 6 mph directly west. In t hours his distance is

Since both directions are 90 degrees apart, the distance between them is the hypotenuse of a triangle which sides are the distances of each office

This distance is known to be 2 miles, so

t is approximately 15 minutes

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