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A straight fence is to be constructed from posts 6 inches

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Director
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A straight fence is to be constructed from posts 6 inches [#permalink] New post 04 Feb 2018, 01:37
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Question Stats:

69% (01:38) correct 30% (01:33) wrong based on 13 sessions
A straight fence is to be constructed from posts 6 inches wide and separated by lengths of chain 5 feet long. If a certain fence begins and ends with a post, which of the following could be the length of the fence in feet? (12 inches = 1 foot)

Indicate ALL such answers

A) 17
B) 28
C) 35
D) 39
E) 50
[Reveal] Spoiler: OA
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Re: A straight fence is to be constructed from posts 6 inches [#permalink] New post 04 Feb 2018, 11:19
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the fence goes like this:

| |___| |___| |_ .... _ | |

so you start with 1/2 foot and end up with 1/2 foot
(1/2+5)k represent the pair of wood+chain add 1/2 to it for the last unpaired piece of wood to get the total

(5+1/2)k+1/2=total

test answers, plug in total and make sure k is an integer.

All work except C:
(5+1/2)k+1/2= 11k/2+1/2=(11k+1)/2=total

2*35=11k+1
70-1=11k
69/11=/ not an integer
Re: A straight fence is to be constructed from posts 6 inches   [#permalink] 04 Feb 2018, 11:19
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A straight fence is to be constructed from posts 6 inches

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