SOLUTION: if train train covers a distance between A and B in 45 minutes. if the speed of the train is reduced by 5 km it will reach in 48 minutes... what is the distance between A and B

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Question 792483: if train train covers a distance between A and B in 45 minutes. if the speed of the train is reduced by 5 km it will reach in 48 minutes... what is the distance between A and B
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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if train train covers a distance between A and B in 45 minutes.
if the speed of the train is reduced by 5 km it will reach in 48 minutes...
what is the distance between A and B
:
Find the speed first
let s = original speed
then
(s-5) = slower speed
:
Since we using km/hr, change 45 min to .75 hrs and 48 min to .8 hrs
:
Write a distance equation dist = time * speed
.8(s-5) = .75s
.8s - 4 = .75s
.8s - .75s = 4
.05s = 4
s = 4/.05
s = 80 km/hr
Find the distance
.75 * 80 = 60 km is the distance from A to B
check the distance
.8 * 75 = 60 km