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If during a one-day period the Q train arrives at the

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sandy
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If during a one-day period the Q train arrives at the [#permalink] New post   25 Apr 2017, 16:48
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A
B
C
D
E

Question Stats:

88% (00:59) correct 11% (01:27) wrong based on 18 sessions

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If during a one-day period the Q train arrives at the station 30% less frequently than the B train, and the B train arrives 10% less frequently than the F train, then the Q train’s frequency is what percent of the F train’s frequency?

A. 27
B. 40
C. 60
D. 63
E. 90

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D
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PankajPatel
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Re: If during a one-day period the Q train arrives at the [#permalink] New post   26 Apr 2017, 11:44
Q train arrives at the station 30% less frequently than the B train => Q = .70B

B train arrives 10% less frequently than the F train => B = .90F

Now, to calculate Q train’s frequency to that of F train’s frequency in terms of percentage=> Q = .70B
Q = .70(.90F)
Q = .63F
Q = 63/100F
Q = 63%F

Therefore , Q train’s frequency would be 63% of the F train’s frequency.Option (D).
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sandy
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Re: If during a one-day period the Q train arrives at the [#permalink] New post   02 May 2017, 16:58
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Explanation

To solve this question Plug In. Since the question deals with percents, try 100. If the F train arrives 100 times per day, then the B will arrive 10% fewer times than 100:

B=(1−10100)×100=90 times,


and the Q will arrive 30% fewer times than 90: Q=(1−30/100)B=(7030)90=63 times.

Translating the question “the Q train’s frequency is what percentage of the F train’s” gives Q=x100×F or x=63.

Which means that the Q’s frequency is 63% of the F’s. The correct answer is choice (D).

Hence option D is correct!
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gmatclubot
Re: If during a one-day period the Q train arrives at the [#permalink]
02 May 2017, 16:58
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