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A farmer plans to build a fence next to a stretch of driveway. Each fe

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Senior Manager
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Joined: 26 Dec 2015
Posts: 262
Location: United States (CA)
Concentration: Finance, Strategy
WE: Investment Banking (Venture Capital)
A farmer plans to build a fence next to a stretch of driveway. Each fe  [#permalink]

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New post 01 Jan 2018, 21:46
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Question Stats:

78% (01:35) correct 22% (02:31) wrong based on 75 sessions

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A farmer plans to build a fence next to a stretch of driveway. Each fence post will be one foot wide and there will be three feet of space between posts. If the driveway is 65 feet long and the fence will be on just one side of the driveway, then how many posts will the farmer need to complete the fence?

A) 16

B) 17

C) 18

D) 19

E) 20
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Re: A farmer plans to build a fence next to a stretch of driveway. Each fe  [#permalink]

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New post 01 Jan 2018, 22:07
1ft. fence 3ft. space
<--------><---------------------------> (repeat)
Stretch of roadway = 65 ft.
lets take a number which is divisible by 4 (1+3)
64/4 = 16
16 fence posts & and 16 spaces left.
Remaining 65 - 64 = 1 ft. => put one fence post in this length.

thus 16+1 = 17 fence posts required
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Re: A farmer plans to build a fence next to a stretch of driveway. Each fe  [#permalink]

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New post 01 Jan 2018, 22:09
1ft. fence 3ft. space
<--------><---------------------------> (repeat)
Stretch of roadway = 65 ft.
lets take a number which is divisible by 4 (1+3)
64/4 = 16
16 fence posts & and 16 spaces left.
Remaining 65 - 64 = 1 ft. => put one fence post in this length.

thus 16+1 = 17 fence posts required
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Re: A farmer plans to build a fence next to a stretch of driveway. Each fe  [#permalink]

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New post 02 Jan 2018, 01:04
LakerFan24 wrote:
A farmer plans to build a fence next to a stretch of driveway. Each fence post will be one foot wide and there will be three feet of space between posts. If the driveway is 65 feet long and the fence will be on just one side of the driveway, then how many posts will the farmer need to complete the fence?

A) 16

B) 17

C) 18

D) 19

E) 20


Let's visualise a fence: Each fence post and the space to its right will account for a total of 1 + 3 = 4 feet. So to cover 64 feet, we will need 64/4 = 16 posts. The last one foot will be covered by one more fence post so in all we will need 17 fence posts

Answer (B)
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Re: A farmer plans to build a fence next to a stretch of driveway. Each fe &nbs [#permalink] 02 Jan 2018, 01:04
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