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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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Bunuel
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Oak trees line both sides of a street for a length of 3/8 of a kilomet [#permalink] New post   14 Jun 2019, 00:34
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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
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E
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Oak trees line both sides of a street for a length of 3/8 of a kilomet [#permalink] New post   14 Jun 2019, 00:41
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Bunuel wrote:
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

For one side
If 1st tree is at 0 metes, 2nd tree will be at 1 + 16 = 17th meter so on ....
3/8th of kilometer = 3/8*1000 = 375 meters = 17*22 + 1
--> Trees on one side = 23 (1 tree at 0 meter)

Total trees on both sides = 2*23 = 46

IMO Option E
 
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Re: Oak trees line both sides of a street for a length of 3/8 of a kilomet [#permalink] New post   14 Jun 2019, 01:59
Bunuel wrote:
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


total tree length = 3/8* 1000 ; 375 mtrs
and each tree has gap of 16+1 ; 17 mtrs
or we can say total trees ; 375/17 + 1 ; ~ 23 on one side and
both side ; 23*2 ; 46
IMO E
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Re: Oak trees line both sides of a street for a length of 3/8 of a kilomet [#permalink] New post   30 Jun 2019, 08:33
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Solution


Given:
    • Oak trees line both sides of a street for a length of \(\frac{3}{8}\) of a kilometer
    • If there is 16 meters of space between the trees, and each tree is 1 meter wide

To find:
    • The number of trees along the street

Approach and Working Out:
    • Let the number of trees on one side of the street be x, which implies that the other side also has x trees
      o So, total number of gaps on one side of the street = x – 1
      o And, total length of these gaps = 16(x – 1)
      o Thus, \(\frac{3}{8} * 1000 = 16(x – 1) + x\)
      o Implies, 17x = 375 + 16 = 391
      o \(x = \frac{391}{17} = 23\)

    • Therefore, total number of trees = 2x = 46

Hence, the correct answer is Option E.

Answer: E

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Re: Oak trees line both sides of a street for a length of 3/8 of a kilomet [#permalink] New post   18 Mar 2024, 22:16
Bunuel wrote:
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

­length on one side=3/8 kms=3000/8 meters.
let, the number of trees on one side=n, then the number of gaps between trees will be (n-1).
1*n + 16*(n-1) = 3000/8. Solving, we get get n=23.
Therefore, total number of trees on both sides will be 23*2=46. Option (E) is correct.
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Re: Oak trees line both sides of a street for a length of 3/8 of a kilomet [#permalink]
18 Mar 2024, 22:16
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