Mathematical Problem on train. Please Help me solve.
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Mathematical Problem on train. Please Help me solve.

[From: ] [author: ] [Date: 12-08-09] [Hit: ]
???Thanks in advance.t+1.x/v +1.......
A train which travels at a uniform speed due to some mechanical fault after
traveling for an hour goes at 3/5th of the original speed and reaches the destination 2 hrs late.If
the fault had occurred after traveling another 50 miles the train would have reached 40 min
earlier. What is distance between the two stations????
Thanks in advance.

-
Let x = distance between stations
v = normal speed
t = normal time
t = x/v
t+2 = 5(x-v)/3v + 1
t+1.333 = 5(x-v-50)/3v + (v+50)/v
x/v + 1 = 5(x-v)/3v
x/v +1.333 = 5(x-v-50)/3v + (v+50)/v
3x+3v = 5x - 5v
2x = 8v
x = 4v
3x+4v=5x-5v-250+3v+150
6v = 2x -100
6v = 8v - 100
2v = 100
v = 50 mph
x = 200 miles
1
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