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A track shown above, there is a rectangle in the centre and 2 sides a

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A track shown above, there is a rectangle in the centre and 2 sides a [#permalink]

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A track shown above, there is a rectangle in the centre and 2 sides at the each end of the tracks are semi-circles. If the rectangle’s length is 600 feet and the diameter of the semi-circles is 400 feet, and also 40 trees are plant evenly along the track’s end, what is the distance between 2 consecutive trees, approximately, in feet?

A. 30
B. 40
C. 50
D. 60
E. 80


* A solution will be tow days.
[Reveal] Spoiler: OA

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Re: A track shown above, there is a rectangle in the centre and 2 sides a [#permalink]

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New post 24 Feb 2016, 21:01
A track shown above, there is a rectangle in the centre and 2 sides at the each end of the tracks are semi-circles. If the rectangle’s length is 600 feet and the diameter of the semi-circles is 400 feet, and also 40 trees are plant evenly along the track’s end, what is the distance between 2 consecutive trees, approximately, in feet?

A. 30
B. 40
C. 50
D. 60
E. 80


-> 600+600+2π200=about 2,400 and 2,400/40=60.
Thus, D is the answer.
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Re: A track shown above, there is a rectangle in the centre and 2 sides a [#permalink]

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New post 15 Apr 2017, 01:16
MathRevolution wrote:
A track shown above, there is a rectangle in the centre and 2 sides at the each end of the tracks are semi-circles. If the rectangle’s length is 600 feet and the diameter of the semi-circles is 400 feet, and also 40 trees are plant evenly along the track’s end, what is the distance between 2 consecutive trees, approximately, in feet?

A. 30
B. 40
C. 50
D. 60
E. 80


-> 600+600+2π200=about 2,400 and 2,400/40=60.
Thus, D is the answer.


Hello MathRevolution,

I have a doubt - it is listed that "2 sides at the each end of the tracks are semi-circles" and "40 trees are plant (ed) evenly along the track’s end"

Aren't the trees planted along along the semicircle since that is the end?

If the question were that "40 trees are plant (ed) evenly along the track" then considering both the length along with circumference of two semi-circle makes sense to me.

Please help to clarify
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A track shown above, there is a rectangle in the centre and 2 sides a [#permalink]

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New post 30 Apr 2017, 11:35
warriorguy wrote:
MathRevolution wrote:
A track shown above, there is a rectangle in the centre and 2 sides at the each end of the tracks are semi-circles. If the rectangle’s length is 600 feet and the diameter of the semi-circles is 400 feet, and also 40 trees are plant evenly along the track’s end, what is the distance between 2 consecutive trees, approximately, in feet?

A. 30
B. 40
C. 50
D. 60
E. 80


-> 600+600+2π200=about 2,400 and 2,400/40=60.
Thus, D is the answer.


Hello MathRevolution,

I have a doubt - it is listed that "2 sides at the each end of the tracks are semi-circles" and "40 trees are plant (ed) evenly along the track’s end"

Aren't the trees planted along along the semicircle since that is the end?

If the question were that "40 trees are plant (ed) evenly along the track" then considering both the length along with circumference of two semi-circle makes sense to me.

Please help to clarify


MathRevolution, I think have the same question as warriorguy, but in case he is referring to a single semicircle, which would make sense given the prompt's singular "the end".....

I'll ask further: I interpreted "trees are plant[ed] evenly along the track's end" to mean "planted around the perimeter/circumference of both semicircles."

If warriorguy has caught a typo, does "the end" consist of just one semicircle, or both? Thanks in advance.
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Re: A track shown above, there is a rectangle in the centre and 2 sides a [#permalink]

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New post 19 Aug 2017, 13:32
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Answer is Clearly D , 60
distance between trees is x
40 trees in track means 40x
total perimeter is 600x2 + (22/7) x 2x200
40x = 1200 + 2x200x22/7
x=60
Answer D
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Re: A track shown above, there is a rectangle in the centre and 2 sides a   [#permalink] 19 Aug 2017, 13:32
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