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# A train crossed a man standing on a platform, 300 metres

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CEO
Joined: 21 Jan 2007
Posts: 2760
Location: New York City
Followers: 9

Kudos [?]: 391 [0], given: 4

A train crossed a man standing on a platform, 300 metres [#permalink]  26 Dec 2007, 07:49
A train crossed a man standing on a platform, 300 metres long, in 35 seconds and the platform completely in 55 seconds. What is the length of the train?

525
825
300
495
675
Director
Joined: 12 Jul 2007
Posts: 864
Followers: 13

Kudos [?]: 224 [0], given: 0

Here's how I see it:

the train is X meters long. At the speed it is traveling it will run it's entire length of X meters in 35 seconds. It takes 55 seconds for it to go 300+X meters (the 300 meters of the platform plus the length of the train to get the tail end past the platform).

So it goes 300 meters in 20 seconds (55-35) and X meters in the other 35.

35/20=1.75
300*1.75=525
X=525m

the train is 525 meters long

perhaps my understanding of the problem is off, but that's my answer for better or worse
Director
Joined: 08 Jun 2007
Posts: 584
Followers: 2

Kudos [?]: 80 [1] , given: 0

1
KUDOS
speed is constant
x/35 = (300+x)/55

x = 525
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