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

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

CareerGeek · Accepted Answer

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

Archit3110 · Answer

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

EgmatQuantExpert · Answer

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

https://e-gmat.com/blogs/wp-content/uploads/2018/08/Ability-Quiz-WP-e1533292133520.png

samarpan.g28 · Answer

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.

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

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GMAT Problem Solving (PS) Questions

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

Prep Toolkit

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