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

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Manager
Joined: 26 Dec 2015
Posts: 236
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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01 Jan 2018, 21:46
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Difficulty:

25% (medium)

Question Stats:

80% (01:31) correct 20% (02:21) wrong based on 81 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
Manager
Joined: 23 Oct 2017
Posts: 61
Re: A farmer plans to build a fence next to a stretch of driveway. Each fe  [#permalink]

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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
Manager
Joined: 23 Oct 2017
Posts: 61
Re: A farmer plans to build a fence next to a stretch of driveway. Each fe  [#permalink]

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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
Veritas Prep GMAT Instructor
Joined: 16 Oct 2010
Posts: 9701
Location: Pune, India
Re: A farmer plans to build a fence next to a stretch of driveway. Each fe  [#permalink]

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02 Jan 2018, 01:04
1
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

_________________
Karishma
Veritas Prep GMAT Instructor

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