SOLUTION: A train moving at r miles/hour can cover a given distance in h hours. By how many minute/hour must its speed be increased in order to cover the same distance in one hour less time?

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: A train moving at r miles/hour can cover a given distance in h hours. By how many minute/hour must its speed be increased in order to cover the same distance in one hour less time?      Log On


   

Question 667755: A train moving at r miles/hour can cover a given distance in h hours. By how many minute/hour must its speed be increased in order to cover the same distance in one hour less time?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
A train moving at r miles/hour can cover a given distance in h hours.
By how many minute/hour must its speed be increased in order to cover the
same distance in one hour less time?
:
We will use mph for speed.
:
Distance covered can be written as rh (rate*time)
:
let a = additional speed required to cover the same distance in 1 hr less
:
(r+a)*(h-1) = rh
FOIL
rh - r + ah - a = rh
subtract rh from both sides
-r + ah - a = 0
ah - a = r
a(h-1) = r
a = r%2F%28%28h-1%29%29 mph; additional speed to accomplish this