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# PS- Speed

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Manager
Joined: 15 Apr 2008
Posts: 164

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08 Jan 2009, 11:14
00:00

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Question Stats:

100% (01:05) correct 0% (00:00) wrong based on 1 sessions

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Walking 6/7th of his speed a man is 12 minutes too late. The usual time taken by him to cover that distance is

A. 1 hr
B. 1 Hr 12 min
C. 1 hr 15 min
D. 1 hr 20 min

pls show the working also
SVP
Joined: 29 Aug 2007
Posts: 2473

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08 Jan 2009, 12:01
ALD wrote:
Walking 6/7th of his speed a man is 12 minutes too late. The usual time taken by him to cover that distance is

A. 1 hr
B. 1 Hr 12 min
C. 1 hr 15 min
D. 1 hr 20 min

pls show the working also

d = tr
d = (t+12) (6r/7)

tr = (t+12) (6r/7)

t = 72 minuets (1 hr 12 min)
B.
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Manager
Joined: 04 Jan 2009
Posts: 238

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09 Jan 2009, 10:03
little differently:
d/(6v/7) = t+12
d/v=t
7/6t-t=12
t=72 min = 1h12min
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tusharvk

Manager
Joined: 28 Jul 2004
Posts: 136
Location: Melbourne
Schools: Yale SOM, Tuck, Ross, IESE, HEC, Johnson, Booth

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09 Jan 2009, 23:50
A rule you can follow:

When something moves at factor F of the usual speed, the usual time to cover the distance becomes 1/F x T

So, coming to solution:

The Man travels at 6/7th of speed, hence time taken becomes 7/6xT, where T is the usual time.

Now, 7/6T - T = 12 minutes

or, T/6 = 12 minutes --> T = 72 minutes = 1 hr 12 min

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kris

Manager
Joined: 15 Apr 2008
Posts: 164

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10 Jan 2009, 13:58
krishan wrote:
A rule you can follow:

When something moves at factor F of the usual speed, the usual time to cover the distance becomes 1/F x T

So, coming to solution:

The Man travels at 6/7th of speed, hence time taken becomes 7/6xT, where T is the usual time.

Now, 7/6T - T = 12 minutes

or, T/6 = 12 minutes --> T = 72 minutes = 1 hr 12 min

OA is B
thanks for the good explanation.
Senior Manager
Joined: 02 Nov 2008
Posts: 277

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10 Jan 2009, 14:08
ALD wrote:
Walking 6/7th of his speed a man is 12 minutes too late. The usual time taken by him to cover that distance is

A. 1 hr
B. 1 Hr 12 min
C. 1 hr 15 min
D. 1 hr 20 min

pls show the working also

An easier way to solve this without writing any equations is to look for the answer that is divisible by 7

A - 1 hr = 60 minutes + 12 = 72
B - 1 hr 12 min = 72 minutes + 12 = 84 (yes)
C - 1 hr 15 min = 75 minutes + 12 = 87
D - 1 hr 20 min = 80 minutes +12 = 92

So B is the only answer that works
Re: PS- Speed   [#permalink] 10 Jan 2009, 14:08
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