SOLUTION: 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 spee

Question 227708: 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 20 miles per hour. Find an expression for their distance apart d in miles at the end of t hours.
Answer by drj(1380) (Show Source): You can put this solution on YOUR website!
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 20 miles per hour. Find an expression for their distance apart d in miles at the end of t hours.

Step 1. distance= speed * time.

Step 2. Let 60t be the car traveling EAST at 60 miles per hour after t hours

Step 3. Let 20t be the distance of the truck traveling SOUTH at 20 miles per hour after t hours.

Step 4. Use the Pythagorean Theorem to find the distance d (hypotenuse) given as the sum of the squares of the legs (legs for our example given as 60t and 20t) is equal to the square of the hypotenuse d.

Take the square root to both sides of the equation yields

Step 5. ANSWER is

I hope the above steps were helpful.

For FREE Step-By-Step videos in Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra and for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry.

And good luck in your studies!

Respectfully,
Dr J
http://www.FreedomUniversity.TV

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