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# If it takes Patrick 4 hours to paint a room, how long did it take Patr

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Math Expert
Joined: 02 Sep 2009
Posts: 58381
If it takes Patrick 4 hours to paint a room, how long did it take Patr  [#permalink]

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16 Jan 2017, 09:36
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1
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Difficulty:

5% (low)

Question Stats:

89% (00:39) correct 11% (00:33) wrong based on 90 sessions

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If it takes Patrick 4 hours to paint a room, how long did it take Patrick and Roger working together?

(1) It takes Roger twice as long to paint the same room.
(2) Patrick painted the room from 10 a.m. to 2 p.m.

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Joined: 25 Nov 2016
Posts: 51
Location: Switzerland
GPA: 3
Re: If it takes Patrick 4 hours to paint a room, how long did it take Patr  [#permalink]

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16 Jan 2017, 10:12
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1
Answer is A

The productivity of Patrick is 1/4 of the room per hour

(A) If Roger paint it twice as long to paint then I will we need 8 hours => His productivity is 1/8

Together the productivity is 1/4 + 1/8 = 3/8

Therefore, it will take 3/8 * X(number of hours) = 1 => X = 8/3 = 2 hours and 40 minutes to complete

(B) Give no informations on Roger and we already know that he takes 4 hours.
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Joined: 05 Apr 2014
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Location: India
Concentration: Economics, International Business
Schools: ISB '19, Fox"19
GMAT 1: 660 Q48 V33
GPA: 3
Re: If it takes Patrick 4 hours to paint a room, how long did it take Patr  [#permalink]

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16 Jan 2017, 12:25
Statement 1- sufficient
Statement - we know nothing about Roger ..Nd this re establishes the data given in the question that Patrick takes 4hr
So A

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Joined: 26 Mar 2013
Posts: 2347
Re: If it takes Patrick 4 hours to paint a room, how long did it take Patr  [#permalink]

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17 Jan 2017, 15:48
1
If it takes Patrick 4 hours to paint a room, how long did it take Patrick and Roger working together?

(1) It takes Roger twice as long to paint the same room.

Patrick takes 4 hrs and Roger takes 8 hrs. Total= 4 * 8/ (4+8) =32/12=8/3 hrs

Sufficient

(2) Patrick painted the room from 10 a.m. to 2 p.m.[/quote]

Same info in the prompt that Patrick takes 4 hrs. No new info

Insufficient

Answer: A
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Re: If it takes Patrick 4 hours to paint a room, how long did it take Patr  [#permalink]

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17 Oct 2018, 09:26
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Re: If it takes Patrick 4 hours to paint a room, how long did it take Patr   [#permalink] 17 Oct 2018, 09:26
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