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In a discus competition, if Hannah's second throw had been 6 meters

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In a discus competition, if Hannah's second throw had been 6 meters  [#permalink]

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New post 25 Jul 2017, 22:42
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In a discus competition, if Hannah's second throw had been 6 meters farther it would have measured twice the distance of her first throw. Her second throw was 28 meters farther than her first throw; what was the distance of her second throw?

A. 62
B. 64
C. 66
D. 68
E. 70

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In a discus competition, if Hannah's second throw had been 6 meters  [#permalink]

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New post 25 Jul 2017, 23:08
Let Hannah's first throw be x and her second throw be y
From the question stem,
y+6 = 2(x) => 2x - y = 6 -> 1
Also, y-x = 28 -> 2

Adding (1) and (2), you will get x = 34.
Hence, her second throw y is 34+28 = 62(Option A)
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Re: In a discus competition, if Hannah's second throw had been 6 meters  [#permalink]

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New post 25 Jul 2017, 23:33
Answer is A. 62 meters.

I went with reverse verification

Let's choose option A 62. Now given information

1st part - had second throw been 6 meters farther , it would be twice the distance of first throw
2nd part - second throw was 28 meters farther than first throw

Let's focus on 2nd part. if second throw distance is 62 meters then as per 2nd part first throw was 34 meters away

Now as per 1st part . had second throw been 6 meters farther .

original distance of second throw - 62 . so 62 + 6 = 68 meters.

Now this distance is twice the first throw distance. We have a perfect match.
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Re: In a discus competition, if Hannah's second throw had been 6 meters  [#permalink]

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New post 25 Jul 2017, 23:57
S = F + 28 -- (i)
S + 6 = 2F -- (ii)

From the above equations we get,
F = 34, S = 62. Ans - A.
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Re: In a discus competition, if Hannah's second throw had been 6 meters  [#permalink]

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New post 26 Jul 2017, 16:20
Bunuel wrote:
In a discus competition, if Hannah's second throw had been 6 meters farther it would have measured twice the distance of her first throw. Her second throw was 28 meters farther than her first throw; what was the distance of her second throw?

A. 62
B. 64
C. 66
D. 68
E. 70



We can let the distance of the first throw = f and the distance of the second throw = s.

Since if Hannah's second throw had been 6 meters farther, it would have measured twice the distance of her first throw:

s + 6 = 2f

Since her second throw was 28 meters farther than her first throw:

s = 28 + f

Substituting 28 + f for s in the first equation, we have:

28 + f + 6 = 2f

34 = f

So, s = 28 + 34 = 62.

Answer: A
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Re: In a discus competition, if Hannah's second throw had been 6 meters   [#permalink] 26 Jul 2017, 16:20
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