Truck and Car speed

Question

Two​ vehicles, a car and a​ truck, leave an intersection at the same time. The car heads east at an average speed of 60 miles per​ hour, while the truck heads south at an average speed of 70 miles per hour. Find an expression for their distance apart d​ (in miles) at the end of t hours.

Answer 1

Car moves east at 60 mph.

Truck moves south at 70 mph

After t hours, the car has moved 60t miles and the truck has moved 70t miles.

The distance between the car and truck is akin to the hypoteneuse of a right triangle.

After 1 hour, the distance d = sqrt(60² + 70²) = sqrt(8500) ~ 92.195 miles.

Thus, after t hours d = sqrt(60²t² + 70²t²) = t*sqrt(60² + 70²) ~ 92.195*t miles