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Saplings are to be planted 30 feet apart along one side of a straight

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Bunuel
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Saplings are to be planted 30 feet apart along one side of a straight [#permalink] New post   18 Jun 2018, 21:44
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Question Stats:

47% (01:12) correct 53% (01:17) wrong based on 82 sessions
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Saplings are to be planted 30 feet apart along one side of a straight line 455 feet long. If the first sapling is to be planted at one end of the lane, how many saplings are needed?


(A) 18

(B) 16

(C) \(15\frac{1}{6}\)

(D) 15

(E) 14
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B
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Re: Saplings are to be planted 30 feet apart along one side of a straight [#permalink] New post   18 Jun 2018, 22:04
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Solution



Given:
    • Saplings are to be planted 30 feet apart along one side of a straight line, which is 455 feet long
    • First sapling is to be planted at one end of the lane

To find:
    • The number of saplings required

Approach and Working:
As the first sapling is to be planted at one end of the lane, we can write the patterns as following:
    • Sapling 1 at distance 0
    • Sapling 2 at distance 30 * 1
    • Sapling 3 at distance 30 * 2
    • Sapling 4 at distance 30 * 3

Therefore, we can say sapling n at distance 30 (n – 1)

Now, the nearest distance of 455 feet, which can be written as 30 * (n – 1) is 30 * 15
    • Hence, n – 1 = 15
    Or, n = 16

Hence, the correct answer is option B.

Answer: B
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Re: Saplings are to be planted 30 feet apart along one side of a straight [#permalink] New post   18 Jun 2018, 22:36
Bunuel wrote:
Saplings are to be planted 30 feet apart along one side of a straight line 455 feet long. If the first sapling is to be planted at one end of the lane, how many saplings are needed?


(A) 18

(B) 16

(C) \(15\frac{1}{6}\)

(D) 15

(E) 14


The straight line path along which the saplings are to be planted is 455 feet long,
and the first sapling is planted at one end of the lane.

0*--30*--60*--90*--120*--150*--180*--210*--240*--270*--300*--330*--360*--390*--420*--450*

Therefore, there are 16(Option B) saplings that are planted along the straight line.
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Saplings are to be planted 30 feet apart along one side of a straight [#permalink] New post   18 Jun 2018, 23:20
This is a very tricky question. Thanks Bunuel !!

Approach: since, 1st sapling was planted at the beginning of the road i.e. at 0 meter distance.
Now, total sapling that can be accommodated in 455 meters = 455/30 i.e. 15.16.
But we cannot have sapling in fraction. Therefore, a total of 15 + 1 (that is planted at 0 distance)
16 is answer.
Answer B
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Re: Saplings are to be planted 30 feet apart along one side of a straight [#permalink] New post   18 Jun 2018, 23:59
Bunuel wrote:
Saplings are to be planted 30 feet apart along one side of a straight line 455 feet long. If the first sapling is to be planted at one end of the lane, how many saplings are needed?


(A) 18

(B) 16

(C) \(15\frac{1}{6}\)

(D) 15

(E) 14



Note:

1. saplings are to be planted 30 feet apart
2. we have to plant a sapling one end of the lane
3. Total space is 455 feet straight line.

0-30-60-90-120-150-180-210-240-270-300-330-360-390-420-450

Total: 16

Thus the best answer is B.
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Re: Saplings are to be planted 30 feet apart along one side of a straight [#permalink]
18 Jun 2018, 23:59
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