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

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

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New post 16 Mar 2017, 07:16
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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) Roger started painting the room at 12 noon.
(2) It takes Roger 3 hours to paint the room.
[Reveal] Spoiler: OA

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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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New post 16 Mar 2017, 07:57
Bunuel wrote:
If it takes Patrick 4 hours to paint a room, how long did it take Patrick and Roger working together?

(1) Roger started painting the room at 12 noon.
(2) It takes Roger 3 hours to paint the room.



FOr both working together we must know thier individual rate of working

(1) clearly insuff

(2) patrick rate = 1/4 room/hr
roger rate = 1/3 room / hr.
Combined 1/4 + 1/3 = 7/12
thus time taken =12/7 hrs

suff

Ans B

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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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New post 16 Mar 2017, 10:36
1 is insufficient because we do not know how long it takes Roger to paint a room
2 is sufficient because we know how long it takes Roger to paint a Room
Therefore, we can compute how long it takes Patrick and Roger to paint a room together

Therefore, the answer is B

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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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New post 01 Aug 2017, 18:02
Bunuel wrote:
If it takes Patrick 4 hours to paint a room, how long did it take Patrick and Roger working together?

(1) Roger started painting the room at 12 noon.
(2) It takes Roger 3 hours to paint the room.



Given. Patrick rate
In work rate problems: Combined rate=sum of individual rates

statement 1. We have no information about the time taken by Roger to paint a room.
Statement 2. Roger rate and Patrick rate. Sufficient

Hence, Ans is: B
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Re: If it takes Patrick 4 hours to paint a room, how long did it take Patr   [#permalink] 01 Aug 2017, 18:02
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