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# Number Theory Require Assistance

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Joined: 26 May 2005
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Re: Number Theory Require Assistance [#permalink]

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07 Jun 2011, 10:06
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Question Stats:

100% (01:28) correct 0% (00:00) wrong based on 29 sessions

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arryputtar wrote:
When the air-conditioner is on, a typist can type X pages per hour. However, when the air-conditioner
is off, she can type at 65 % of the earlier efficiency (when the air-conditioner is on). How many hours
would she take to type out 575 pages when the air-conditioner is off?

a. 375.4 X
b. 884.6 X^–1
c. 36.5 X
d. 454.3 X^–1

Its B
I would plug in and play for this question
Assume X = 60 pages in 60 minutes
thus efficiency is 1 page per minutes
when the AC is off= 65% efficiency = 65% 0f 60 = 39 pages

thus for 575 pages .. its 575/39 = aprox 14.5/7
888X^-1 = 884/60 = ~ 14.5
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Re: Number Theory Require Assistance [#permalink]

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07 Jun 2011, 10:10
As given, when air-condition is off,

1 hr = (65/100)*x pages = 13X/25 pages

1 page = (25/13)*X^-1 hours

575 pages = (25/13) * 575 * X^-1 ≈ 1000

Answer is B

Anyone things something wrong?
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GMAT score target is 700

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Re: Number Theory Require Assistance [#permalink]

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07 Jun 2011, 10:27
arryputtar wrote:
When the air-conditioner is on, a typist can type X pages per hour. However, when the air-conditioner
is off, she can type at 65 % of the earlier efficiency (when the air-conditioner is on). How many hours
would she take to type out 575 pages when the air-conditioner is off?

a. 375.4 X
b. 884.6 X^–1
c. 36.5 X
d. 454.3 X^–1

With AC switched off:
$$0.65x \hspace{3} pages-> 1 \hspace{3} hour$$

$$1 \hspace{3} page -> \frac{1}{0.65x} \hspace{3} hours$$

$$575 \hspace{3} pages -> \frac{575}{0.65x} \hspace{3} hours=\frac{575}{0.65}*x^{-1} \hspace{3} hours$$
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Re: Number Theory Require Assistance [#permalink]

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11 Jun 2011, 07:55
Agree with fluke...simple unitary method. Request arryputtar to format his questions and answers correctly.
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Re: Number Theory Require Assistance   [#permalink] 11 Jun 2011, 07:55
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# Number Theory Require Assistance

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