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03 Dec 2020, 08:15
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D
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Difficulty:
95%
(hard)
Question Stats:
46% (02:43) correct
54%
(02:26)
wrong
based on 80
sessions
History
Date
Time
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Not Attempted Yet
A farmer has decided to build a wire fence along one straight side of his property. For this, he planned to place several fence posts at 6 m intervals, with posts fixed at both ends of the side. After he bought the posts and wire, he found that the number of posts he had bought was 5 less than required. However, he discovered that the number of posts he had bought would be just sufficient if he spaced them 8 m apart. What is the length of the side of his property and how many posts did he buy?
A. 100 m, 15
B. 100 m, 16
C. 120 m, 15
D. 120 m, 16
D. 130 m, 16
A. 100 m, 15
B. 100 m, 16
C. 120 m, 15
D. 120 m, 16
D. 130 m, 16
03 Dec 2020, 10:28
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Bunuel
Let the length be L meters
Number of 6m intervals = L/6
Number of posts required = L/6 + 1
Number of posts he has = L/6 + 1 - 5 = L/6 - 4
If spaced at 8m intervals: Number of intervals = L/8
Number of posts = L/8 + 1
Thus: L/6 - 4 = L/8 + 1 => L/24 = 5 => L = 120
Number of posts he has = L/6 - 4 = 16
Answer D
