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?

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) (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 = mph; additional speed to accomplish this

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