SOLUTION: two cars start from the same point at the same time. One travels north at 25mph and the other travels east at 60mph. How fast is the distance between them increasing at the end of

Algebra ->  Customizable Word Problem Solvers  -> Travel -> SOLUTION: two cars start from the same point at the same time. One travels north at 25mph and the other travels east at 60mph. How fast is the distance between them increasing at the end of       Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 193446: two cars start from the same point at the same time. One travels north at 25mph and the other travels east at 60mph. How fast is the distance between them increasing at the end of 1 hour?
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
two cars start from the same point at the same time. One travels north at 25mph and the other travels east at 60mph. How fast is the distance between them increasing at the end of 1 hour?
-------------------
At 1 hour, the distances to the starting point are 25 miles and 60 miles, the 2 legs of a right triangle.
The distance between them is the hypotenuse is
h^2 = sqrt%2825%5E2+%2B+60%5E2%29
h = 65 miles
dh/dt = 65 mph
---------------
It can be shown with differentiation if necessary, email me via the thank you note if you need to see that.