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Oak trees line both sides of a street for a length of 3/8 of a kilomet

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Oak trees line both sides of a street for a length of 3/8 of a kilomet [#permalink]

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New post 26 Apr 2010, 13:04
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Question Stats:

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Oak trees line both sides of a street for a length of 3/8 of a kilometer. If there is 16 meters of space between the trees, and each tree is 1 meter wide, how many trees are there along the street?

a) 22
b) 23
c) 24
d) 44
e) 46
[Reveal] Spoiler: OA

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Re: Oak trees line both sides of a street for a length of 3/8 of a kilomet [#permalink]

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New post 26 Apr 2010, 13:11
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gmatt14 wrote:
Hi everybody!

Can anybody figure out the following question:

Oak trees line both sides of a street for a length of 3/8 of a kilometer. If there is 16 meters of space between the trees, and each tree is 1 meter wide, how many trees are there along the street?

a) 22
b) 23
c) 24
d) 44
e) 46

[Reveal] Spoiler:
Correct Answer: B


There is a gap of 16 m between every 2 trees , each tree is 1 m wide.
3/8of 1 km = 375 m
Lets assume that x trees are planted So equation is

x*1 +(x-1)*16 = 375


Solve for x and we get x = 23, answer is B.
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Re: Oak trees line both sides of a street for a length of 3/8 of a kilomet [#permalink]

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New post 26 Apr 2010, 13:14
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gmatt14 wrote:
Hi everybody!

Can anybody figure out the following question:

Oak trees line both sides of a street for a length of 3/8 of a kilometer. If there is 16 meters of space between the trees, and each tree is 1 meter wide, how many trees are there along the street?

a) 22
b) 23
c) 24
d) 44
e) 46

[Reveal] Spoiler:
Correct Answer: B



3/8 of kilometer = 375 m
consider n number of trees, number of spaces between them will be n-1
thus total distance becomes n*1+16(n-1) = 17n - 16

now 375 = 17n-16
=> n = 23
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Re: Oak trees line both sides of a street for a length of 3/8 of a kilomet [#permalink]

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New post 26 Apr 2010, 13:33
Hi everybody!

Can anybody figure out the following question:

Oak trees line both sides of a street for a length of 3/8 of a kilometer. If there is 16 meters of space between the trees, and each tree is 1 meter wide, how many trees are there along the street?

a) 22
b) 23
c) 24
d) 44
e) 46

*---1---*---2---*--3----*
Assume * as tree &
--- as spaces (distance between two trees)
from the above diagram , it is inferred that in between 4 trees , there are 3 spaces .
Therefore, we generalize ,if there are x trees , there are x-1 spaces between trees

Given:
3/8 of a kilometer = 375 meter
spaces( spaces between two trees ) = 16m
Tree size = 1m
therefore x*1 + (x-1 ) * 16 = 375
17 x + 16 = 375
17x = 391
x = 23

Ans = b)

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Re: Oak trees line both sides of a street for a length of 3/8 of a kilomet [#permalink]

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New post 26 Apr 2010, 13:36
lnarayanan wrote:
Hi everybody!

Can anybody figure out the following question:

Oak trees line both sides of a street for a length of 3/8 of a kilometer. If there is 16 meters of space between the trees, and each tree is 1 meter wide, how many trees are there along the street?

a) 22
b) 23
c) 24
d) 44
e) 46

*---1---*---2---*--3----*
Assume * as tree &
--- as spaces (distance between two trees)
from the above diagram , it is inferred that in between 4 trees , there are 3 spaces .
Therefore, we generalize ,if there are x trees , there are x-1 spaces between trees

Given:
3/8 of a kilometer = 375 meter
spaces( spaces between two trees ) = 16m
Tree size = 1m
therefore x*1 + (x-1 ) * 16 = 375
17 x + 16 = 375
17x = 391
x = 23

Ans = b)

Could you point out the part you need clarification on?
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Re: Oak trees line both sides of a street for a length of 3/8 of a kilomet [#permalink]

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New post 26 Apr 2010, 14:02
I did not know how to approach it........now I get the idea..........It's all good

Thx to y'all.
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Re: Oak trees line both sides of a street for a length of 3/8 of a kilomet [#permalink]

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New post 26 Apr 2010, 23:30
I think the answer for the above question is E because they mentioned the trees are on either sides of the road. So it is 23*2 = 46 oak trees in total.

Sid

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Re: Oak trees line both sides of a street for a length of 3/8 of a kilomet [#permalink]

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New post 27 Apr 2010, 03:56
sidred130 wrote:
I think the answer for the above question is E because they mentioned the trees are on either sides of the road. So it is 23*2 = 46 oak trees in total.

Sid


Good observation Sid, but somehow i feel by the statement "Oak trees line both sides of a street for a length of 3/8 of a kilometer." what it means is that the total length including both sides it is 3/8 km, plus the OA is 23.
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Re: Oak trees line both sides of a street for a length of 3/8 of a kilomet [#permalink]

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Re: Oak trees line both sides of a street for a length of 3/8 of a kilomet   [#permalink] 20 Sep 2017, 06:50
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