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

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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, 00:41
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Difficulty:

  15% (low)

Question Stats:

94% (01:01) correct 6% (00:32) wrong based on 31 sessions

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

(1) On his fifth jump, Ken exceeded the average length of his first four jumps by 2.5 feet.
(2) Ken’s fifth jump increased the length of his average (arithmetic mean) jump from 22.5 feet to 23 feet.

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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, 07:47
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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 &nbs [#permalink] 18 Jul 2018, 07:47
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