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.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)   (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 =
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.

RELATED QUESTIONS

Two cars start moving from the same point. One travels east at 45 miles per hour and the... (answered by Alan3354)
Two cars start at same point one travel north at 65km/h and the other travels east at... (answered by Alan3354)
Differential calculus: Two automobiles start from point A at the same time.one travels... (answered by marcsam823,kensson)
Two cars start moving from the same point at the same time. One travels south at 60 mph... (answered by Alan3354)
Two cars leave the same point. One travels north at 45 mph and the other travels east at... (answered by Alan3354,ikleyn,MathTherapy)
Two cars start from the same point. One travels south at 75 mi/hr and the other travels... (answered by richwmiller)
Two cars start from the same point. One travels south at 75mi/hr and the other travels... (answered by Alan3354)
two cars leave an intersection at the same time and travel in opposite directions. one... (answered by funmath,303795)
two cars start driving in the same direction from the same place.if one travels at 60mph... (answered by rfer)