Two vehicles, a car and a truck, leave an intersection at the same time. the car heads east at an average speed of 50 miles per hour, while the truck heads south at an average speed of 60 miles per hour. find an expression for their distance apart d (in miles) at the end of t hours.

The car heads east at an average speed of 50 miles per hour from the intersection point towards East. The truck heads east at an average speed of 60 miles per hour from the intersection point towards South.

The distance of car from the intersection point after t hours is .

The distance of truck from the intersection point after t hours is .

Since these distances are perpendicular to each other, distance apart d (in miles) at the end of t hours is

Thus the distance apart is

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