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 spe

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Question 393400: 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 t hours.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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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 t hours.
:
Let t = the travel time of both vehicles
then
60t = dist traveled by the car
and
50t = dist traveled by the truck
:
Use pythag, d = the hypotenuse
:
d = sqrt%28%2860t%29%5E2+%2B+%2850t%29%5E2%29
We can simplify this
d = sqrt%283600t%5E2+%2B+2500t%5E2%29
:
d = sqrt%286100t%5E2%29
:
d = sqrt%2861%2A100t%5E2%29
extract the square root of 100 and t^2
:
d = 10t%2Asqrt%2861%29, is the simplified expression for this scenario