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

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Math Expert
Joined: 02 Sep 2009
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If a sprinter takes 30 steps in 9 seconds, how many steps does he take  [#permalink]

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20 May 2017, 06:33
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Difficulty:

5% (low)

Question Stats:

100% (00:34) correct 0% (00:00) wrong based on 48 sessions

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

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20 May 2017, 06:45
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]

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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]

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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

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

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24 May 2017, 10:22
30/x = 9/54
30 x 54 = 9x
x = 180

Re: If a sprinter takes 30 steps in 9 seconds, how many steps does he take &nbs [#permalink] 24 May 2017, 10:22
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