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If a sprinter takes 30 steps in 9 seconds, how many steps does he take

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Bunuel
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If a sprinter takes 30 steps in 9 seconds, how many steps does he take [#permalink] New post   20 May 2017, 06:33
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If a sprinter takes 30 steps in 9 seconds, how many steps does he take in 54 seconds?#

(A) 130
(B) 170
(C) 173
(D) 180
(E) 200
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D
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amanvermagmat
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Re: If a sprinter takes 30 steps in 9 seconds, how many steps does he take [#permalink] New post   20 May 2017, 06:45
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Distance varies Directly as time when speed is fixed.
Since D and T are directly related, we can say that

D1/T1 = D2/T2
Substituting, 30/9 = D2/54
This gives D2 = 180

So the sprinter will take 180 steps in 54 seconds. Hence D

(We can also say that since time has become 6 times, distance will also become 6 times.
6*30 = 180)
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Re: If a sprinter takes 30 steps in 9 seconds, how many steps does he take [#permalink] New post   21 May 2017, 19:41
\(\frac{54}{9}=6\)

\(6*30=180\)

Therefore, the correct response is: D
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Re: If a sprinter takes 30 steps in 9 seconds, how many steps does he take [#permalink] New post   23 May 2017, 17:22
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Bunuel wrote:
If a sprinter takes 30 steps in 9 seconds, how many steps does he take in 54 seconds?#

(A) 130
(B) 170
(C) 173
(D) 180
(E) 200


We can create the following proportion in which n = the number of steps in 54 seconds:

30/9 = n/54

10/3 = n/54

540 = 3n

180 = n

Answer: D
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matthewsmith_89
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Re: If a sprinter takes 30 steps in 9 seconds, how many steps does he take [#permalink] New post   24 May 2017, 10:22
30/x = 9/54
30 x 54 = 9x
x = 180

Answer D
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Re: If a sprinter takes 30 steps in 9 seconds, how many steps does he take [#permalink] New post   29 Sep 2019, 05:37
Expert Reply

Solution



Given
    • A sprinter takes 30 steps in 9 seconds.

To find
    • The number of steps sprinter will take in 54 seconds

Approach and Working out
    • Steps taken in 9 sec = 30 steps
      o Steps taken in 1 sec = 30/9 steps
    • Steps taken in 54 sec = 30/9 * 54 steps= 180 steps

Hence, option D is the correct answer.

Correct Answer: Option D
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Re: If a sprinter takes 30 steps in 9 seconds, how many steps does he take [#permalink] New post   22 Jun 2021, 00:46
Hello from the GMAT Club BumpBot!

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Re: If a sprinter takes 30 steps in 9 seconds, how many steps does he take [#permalink]
22 Jun 2021, 00:46
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