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 50 miles per hour. Find an expression for their distance apart d (in miles) at the end of thours. At the end of thours, the two vehicles are miles apart (Simplify your answer. Type an exact answer, using radicals as needed.)

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windyyork windyyork · Answer 1 · 2019-10-18T10:02:43+02:00

Answer: Car is 10√60 t miles apart from the truck.

Step-by-step explanation:

Since we have given that

Average speed of the car = 60 miles per hour

Average speed of the truck = 50 miles per hour

Distance between them = d miles

Let t be the time of both the vehicles.

So, Distance covered by car = 60t

Distance covered by truck = 50t

So, Distance between them would be

[tex]d=\sqrt{(60t)^2+(50t)^2}\\\\d=\sqrt{3600t^2+2500t^2}\\\\d=\sqrt{6100t^2}\\\\d=10t\sqrt{61}\ miles[/tex]

Hence , Car is 10√60 t miles apart from the truck.