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Steve gets on the elevator at the 11th floor of a building

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Steve gets on the elevator at the 11th floor of a building [#permalink]

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New post 01 Nov 2008, 09:48
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Steve gets on the elevator at the 11th floor of a building and rides at a rate of 57 floors per minute. At the same time Joyce gets on an elevator on the 51st floor of the same building and rides down at a rate of 63 floors per minute.If they continue to travel at these rates, at which floor will their paths cross ?

A) 19
B) 28
C) 30
D) 32
E) 44
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Re: PS : KAPLAN : ELEVATOR [#permalink]

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New post 01 Nov 2008, 09:55
D - 32

Distance between is 40 floors
a/60/57 = (40-0)/60/63
a = 21

11+21 = 32nd floor

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Re: PS : KAPLAN : ELEVATOR [#permalink]

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New post 01 Nov 2008, 10:00
LiveStronger wrote:
D - 32

Distance between is 40 floors
a/60/57 = (40-0)/60/63
a = 21

11+21 = 32nd floor


isn't the distance between them = 51-11 +1 = 41 ??

How did you set up your equations ??
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Re: PS : KAPLAN : ELEVATOR [#permalink]

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New post 01 Nov 2008, 10:02
No it has to be 40 :roll:

If we look at the angle from the guy who is going up, he is alreday at 11, so starting with 12th to 51st is 40
Same with the guy coming down

What is the OA ?

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Re: PS : KAPLAN : ELEVATOR [#permalink]

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New post 01 Nov 2008, 10:07
amitdgr wrote:
LiveStronger wrote:
D - 32

Distance between is 40 floors
a/60/57 = (40-0)/60/63
a = 21

11+21 = 32nd floor


isn't the distance between them = 51-11 +1 = 41 ??


Assuming x mins elapse when they meet the equation can be set up as follows -

11 + 57x = 51 - 63x
=> x = 1/3

So they meet at 11+57*1/3 = 11+19 = 30th floor.

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Re: PS : KAPLAN : ELEVATOR [#permalink]

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New post 01 Nov 2008, 10:10
i get 30..

40 is the Distance..

D/(63+57)=1/3 minute

1/3 *63=21 floors down

so 51-21=30.. they meet at the 30th floor

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Re: PS : KAPLAN : ELEVATOR [#permalink]

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New post 01 Nov 2008, 10:23
OA is C. 30

I like the way dwivedys has set up the equations. I did the way freseinha has done ......
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Re: PS : KAPLAN : ELEVATOR [#permalink]

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New post 01 Nov 2008, 10:30
Can anybody point out where I am going wrong
Thanks :)

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Re: PS : KAPLAN : ELEVATOR [#permalink]

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New post 01 Nov 2008, 10:41
LiveStronger wrote:
Can anybody point out where I am going wrong
Thanks :)


how did you set up the equations ?? I am not able to understand them ....
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Re: PS : KAPLAN : ELEVATOR   [#permalink] 01 Nov 2008, 10:41
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Steve gets on the elevator at the 11th floor of a building

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