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

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VP
Joined: 30 Jun 2008
Posts: 1004
Steve gets on the elevator at the 11th floor of a building  [#permalink]

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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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Senior Manager
Joined: 21 Apr 2008
Posts: 265
Location: Motortown
Re: PS : KAPLAN : ELEVATOR  [#permalink]

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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
VP
Joined: 30 Jun 2008
Posts: 1004
Re: PS : KAPLAN : ELEVATOR  [#permalink]

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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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"You have to find it. No one else can find it for you." - Bjorn Borg

Senior Manager
Joined: 21 Apr 2008
Posts: 265
Location: Motortown
Re: PS : KAPLAN : ELEVATOR  [#permalink]

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

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 ?
VP
Joined: 15 Jul 2004
Posts: 1337
Schools: Wharton (R2 - submitted); HBS (R2 - submitted); IIMA (admitted for 1 year PGPX)
Re: PS : KAPLAN : ELEVATOR  [#permalink]

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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.
Current Student
Joined: 28 Dec 2004
Posts: 3280
Location: New York City
Schools: Wharton'11 HBS'12
Re: PS : KAPLAN : ELEVATOR  [#permalink]

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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
VP
Joined: 30 Jun 2008
Posts: 1004
Re: PS : KAPLAN : ELEVATOR  [#permalink]

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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 ......
_________________

"You have to find it. No one else can find it for you." - Bjorn Borg

Senior Manager
Joined: 21 Apr 2008
Posts: 265
Location: Motortown
Re: PS : KAPLAN : ELEVATOR  [#permalink]

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01 Nov 2008, 10:30
Can anybody point out where I am going wrong
Thanks
VP
Joined: 30 Jun 2008
Posts: 1004
Re: PS : KAPLAN : ELEVATOR  [#permalink]

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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 ....

--== Message from GMAT Club Team ==--

This is not a quality discussion. It has been retired.

If you would like to discuss this question please re-post it in the respective forum. Thank you!

To review the GMAT Club's Forums Posting Guidelines, please follow these links: Quantitative | Verbal Please note - we may remove posts that do not follow our posting guidelines. Thank you.

_________________

"You have to find it. No one else can find it for you." - Bjorn Borg

Re: PS : KAPLAN : ELEVATOR &nbs [#permalink] 01 Nov 2008, 10:41
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