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The train crosses a man standing on a platform 150 mts long

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The train crosses a man standing on a platform 150 mts long [#permalink] New post 15 Mar 2005, 11:35
The train crosses a man standing on a platform 150 mts long in 10sec. and crosses the platform completely in 22 sec.Find the length of train and speed of train.
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 [#permalink] New post 15 Mar 2005, 11:48
assuming the man is at the end of the platform and the train is at the other edge of the platform;
the front of the train reaches him in 10 seconds therefore the trains speed is 15m/sec
it completely crosses the platform in 22 seconds
therefore assuming speed stays the same, (150+x)=15*22
train length should be 180 m
unless i am missing something
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 [#permalink] New post 15 Mar 2005, 12:04
Lenght of train = l m
speed = v m/s

therefore, l/v = 10 s - (1)

also, (150 + l)/v= 22 s - (2)

thus, v = 150/12 m/s

from (1), l = 10v = 1500/12 m
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 [#permalink] New post 15 Mar 2005, 13:02
amit_upasani@hotmail.com wrote:
Lenght of train = l m
speed = v m/s

therefore, l/v = 10 s - (1)

also, (150 + l)/v= 22 s - (2)

thus, v = 150/12 m/s

from (1), l = 10v = 1500/12 m


How did you conclude that (the bolded area)??
author of the question...is this the way the question is phrased?
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 [#permalink] New post 15 Mar 2005, 14:14
Rupstar wrote:
amit_upasani@hotmail.com wrote:
Lenght of train = l m
speed = v m/s

therefore, l/v = 10 s - (1)

also, (150 + l)/v= 22 s - (2)

thus, v = 150/12 m/s

from (1), l = 10v = 1500/12 m


How did you conclude that (the bolded area)??
author of the question...is this the way the question is phrased?


pass a person in x sec = cover a distance equal to the length of the train in x sec
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 [#permalink] New post 15 Mar 2005, 20:48
I found some strange values, I think I lost myself somewhere :lol:
4.4km/h and 330m :roll:
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 [#permalink] New post 16 Mar 2005, 03:47
Length of train=L
speed of train=V

V=(L(man)+V(man)*t(man))-(L(platform)+V(platform)*t(platform))/t(man)-t(platform)

where L(man)=0
t(man)=10sec i.e. train takes 10 sec to pass
v(man)=0 stationary object
L(platform)=150
t(platform)=22sec i.e. train takes 22 sec to pass

V=(0-150)/(10-22)
= 12.5m/sec(ans)
To find the length of train:

V=(L+L(man))/t(man) + V(man)

12.5=(L+0)/10 + 0
L=125mts(Ans)
  [#permalink] 16 Mar 2005, 03:47
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The train crosses a man standing on a platform 150 mts long

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