SOLUTION: Two cars start at the same place and travel at right angles to each other. one car travels 2mph faster than the other car after 2 hours they are 20 miles apart. how fast are the ca
Algebra.Com
Question 907866: Two cars start at the same place and travel at right angles to each other. one car travels 2mph faster than the other car after 2 hours they are 20 miles apart. how fast are the cars traveling?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Two cars start at the same place and travel at right angles to each other.
one car travels 2mph faster than the other car
after 2 hours they are 20 miles apart.
how fast are the cars traveling?
:
let s = speed of the slower car
then
(s+2) = speed of the faster car
therefore:
2s = distance traveled by the slower car
and
2(s+2) = distance traveled by the faster car
:
We can solve this as right triangle: a^2 + b^2 = c^2, where
a = 2s
b = 2(s+2)
c = 20
simplify, divide by 8
Factors to
(s+8)(s-6) = 0
The positive solution is all we want here
s = 6 mph is the speed of the slower car
:
you can find the speed of the faster car, check the solutions in original equation
RELATED QUESTIONS
Two cars start at the same place and time and travel in opposite directions. One car is (answered by stanbon,solver91311)
two cars start at the same place and time, and travel in opposite directions. One car is... (answered by rfer)
two cars start at the same time and place and travel at 100km. one car travels 50km/hr... (answered by lwsshak3)
Two cars start at the same time from the same point and travel in opposite directions.... (answered by Mathtut)
Two cars start at the same time from the same point and travel in opposite directions.... (answered by Alan3354)
Two cars start at the same time from two towns. 792 kilometers apart and meet in 9 hours. (answered by ankor@dixie-net.com,MathTherapy)
Two cars leave Denver at the same time and travel in opposite direction. One car travels... (answered by checkley77,TR Tutoring)
Two cars leave Denver at the same time and travel in opposite directions. One car travels (answered by mananth)
two cars leave denver at the same time and travel in opposite directions. One car travels (answered by rfer)