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

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GRE Prep Club Legend
Joined: 07 Jun 2014
Posts: 4857
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
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If during a one-day period the Q train arrives at the [#permalink]  25 Apr 2017, 16:48
Expert's post
00:00

Question Stats:

66% (00:49) correct 33% (00:00) wrong based on 3 sessions
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

Drill 4
Question: 4
Page: 321
[Reveal] Spoiler: OA

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Manager
Joined: 01 Apr 2017
Posts: 61
WE: Analyst (Computer Software)
Followers: 0

Kudos [?]: 62 [0], given: 27

Re: If during a one-day period the Q train arrives at the [#permalink]  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).
GRE Prep Club Legend
Joined: 07 Jun 2014
Posts: 4857
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 106

Kudos [?]: 1820 [0], given: 397

Re: If during a one-day period the Q train arrives at the [#permalink]  02 May 2017, 16:58
Expert's post
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:

$$B = (1- \frac{10}{100}) \times 100=90$$ times,

and the Q will arrive 30% fewer times than 90: $$Q = (1 - 30/100) B = ( \frac{70}{30})90 = 63$$ times.

Translating the question “the Q train’s frequency is what percentage of the F train’s” gives $$Q = \frac{x}{100} \times F$$ 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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Re: If during a one-day period the Q train arrives at the   [#permalink] 02 May 2017, 16:58
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