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How far did Ken jump on his fifth attempt in the state long jump final

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Math Expert
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How far did Ken jump on his fifth attempt in the state long jump final  [#permalink]

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New post 18 Jul 2018, 01:41
00:00
A
B
C
D
E

Difficulty:

  15% (low)

Question Stats:

93% (01:05) correct 7% (00:56) wrong based on 33 sessions

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MBA Section Director
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Joined: 22 May 2017
Posts: 2560
GPA: 4
WE: Engineering (Computer Software)
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Re: How far did Ken jump on his fifth attempt in the state long jump final  [#permalink]

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New post 18 Jul 2018, 08:47
1
To find how far Ken jumped on his fifth attempt in the state long jump finals

Statement 1

On his fifth jump, Ken exceeded the average length of his first four jumps by 2.5 feet.

We don't know anything about the average of Ken's four previous attempts

Statement 1 is insufficient

Statement 2

Ken’s fifth jump increased the length of his average (arithmetic mean) jump from 22.5 feet to 23 feet.

Ken's average for four jumps is 22.5

=> Sum of previous four jumps = 22.5 * 4 = 90

Let x be the distance Ken jumped in his fifth attempt

=> \(\frac{90 + x}{5}\) = 23

=> 90 + x = 115

=> x = 25

Statement 2 is sufficient

Hence option B
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Re: How far did Ken jump on his fifth attempt in the state long jump final   [#permalink] 18 Jul 2018, 08:47
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How far did Ken jump on his fifth attempt in the state long jump final

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