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# TREES

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Manager
Joined: 20 May 2008
Posts: 57
Followers: 2

Kudos [?]: 5 [0], given: 1

TREES [#permalink]  29 Jan 2009, 02:10
Oak trees line both sides of a street for a lenght 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? (1 kilometer = 1000 meters)

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46
SVP
Joined: 17 Jun 2008
Posts: 1573
Followers: 12

Kudos [?]: 202 [0], given: 0

Re: TREES [#permalink]  29 Jan 2009, 02:20
Total distance between first two trees (on any side) = 18m.
Subsequent trees will be at a distance of 17m.

If there are a total of n trees beyond the first two trees then
18 + 17n = (3/8)*1000 = 375
or, n = 21

Hence, there are 21 + 2 = 23 trees on one side of the road and 46 trees on both sides of the road.
Manager
Joined: 20 May 2008
Posts: 57
Followers: 2

Kudos [?]: 5 [0], given: 1

Re: TREES [#permalink]  29 Jan 2009, 02:54
ok thank you
Director
Joined: 01 Apr 2008
Posts: 906
Schools: IIM Lucknow (IPMX) - Class of 2014
Followers: 18

Kudos [?]: 302 [0], given: 18

Re: TREES [#permalink]  01 Feb 2009, 05:45
Answer is 46. But why should we complicate the calculation by considering First two trees and then calculating for the rest?

Let n = number of trees
n-1 = number of Gaps between n trees

So,
n (1) + (n-1) 16 = 3/8 (1000).
=> n = 23
Ans is 23*2= 46.

scthakur wrote:
Total distance between first two trees (on any side) = 18m.
Subsequent trees will be at a distance of 17m.

If there are a total of n trees beyond the first two trees then
18 + 17n = (3/8)*1000 = 375
or, n = 21

Hence, there are 21 + 2 = 23 trees on one side of the road and 46 trees on both sides of the road.
Re: TREES   [#permalink] 01 Feb 2009, 05:45
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