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How long would it take Sue to paint the room?

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How long would it take Sue to paint the room? [#permalink]

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New post 24 Jan 2016, 04:38
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How long would it take Sue to paint the room?

(1) Working with Bob, the project would last 2 hours.
(2) Bob could accomplish the painting alone in 31⁄4 hours.
[Reveal] Spoiler: OA

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Re: How long would it take Sue to paint the room? [#permalink]

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New post 24 Jan 2016, 04:41
2 variables, so both the equations are required.
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How long would it take Sue to paint the room? [#permalink]

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New post 25 Jan 2016, 00:30
Bunuel wrote:
How long would it take Sue to paint the room?

(1) Working with Bob, the project would last 2 hours.
(2) Bob could accomplish the painting alone in 31⁄4 hours.



Total time (T) = (X) (Y)/(X+Y) where X= Sue time alone & Y= Bob time alone & T= combined time

2) Only Bob time= Y.... Ins

1)only Combined time= T.......Ins

Combine 1 & 2......... we can solve for X=sue time

Answer: C
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Re: How long would it take Sue to paint the room? [#permalink]

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New post 28 Jan 2016, 11:29
Answer C.

(1) Working with Bob, the project would last 2 hours.

S + B = 2
One equation, two variables. Not sufficient

(2) Bob could accomplish the painting alone in 31⁄4 hours.

B = 31⁄4 hours. Does not say anything about Sue. Not sufficient

Together, you have two distinct equations and two variables. Combined, both are sufficient. Answer C.
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Re: How long would it take Sue to paint the room? [#permalink]

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New post 04 Feb 2016, 09:23
Could someone actually go through the problem and solve it?
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Re: How long would it take Sue to paint the room? [#permalink]

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New post 04 Feb 2016, 10:01
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ZaydenBond wrote:
Could someone actually go through the problem and solve it?

Sure. I am not sure if statement 2 says 3 1/4 hours or 31/4 hours but I am assuming 31/4 hours

Anyway here is how I would do it:

Given:
\(S + B = 2\)
\(B = 31/4\)

\(\frac{1}{S} + \frac{1}{31/4} = \frac{1}{2}\)

\(\frac{1}{S} + \frac{4}{31} = \frac{1}{2}\)

\(\frac{1}{S} = \frac{1}{2} - \frac{4}{31}\)

\(\frac{1}{S} = \frac{31}{62} - \frac{8}{62}\)

\(\frac{1}{S} = \frac{23}{62}\)

\(S = \frac{62}{23}\)

Would statement 2 say that Bob could accomplish the painting alone in 3 1/4 hours instead of 31/4 hours than the answer would of course change but you can still use the same steps.

Hope this helps.
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Re: How long would it take Sue to paint the room? [#permalink]

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New post 04 Feb 2016, 10:08
saiesta wrote:
ZaydenBond wrote:
Could someone actually go through the problem and solve it?

Sure. I am not sure if statement 2 says 3 1/4 hours or 31/4 hours but I am assuming 31/4 hours

Anyway here is how I would do it:

Given:
\(S + B = 2\)
\(B = 31/4\)

\(\frac{1}{S} + \frac{1}{31/4} = \frac{1}{2}\)

\(\frac{1}{S} + \frac{4}{31} = \frac{1}{2}\)

\(\frac{1}{S} = \frac{1}{2} - \frac{4}{31}\)

\(\frac{1}{S} = \frac{31}{62} - \frac{8}{62}\)

\(\frac{1}{S} = \frac{23}{62}\)

\(S = \frac{62}{23}\)

Would statement 2 say that Bob could accomplish the painting alone in 3 1/4 hours instead of 31/4 hours than the answer would of course change but you can still use the same steps.

Hope this helps.


Thank you very much! I had the same exact process and answer, but was doubting myself. Kudos!
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Re: How long would it take Sue to paint the room? [#permalink]

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New post 28 Jul 2016, 03:19
We are asked how long will Sue take to paint the room
basically for solving this question we need to find time required by Sue to complete the task
Statement 1 tells us that working with Bob the task would require 2 hrs
if we consider time required by Bob to complete the task be B hrs and time required by Sue to complete the task be S hrs then
B + S = 2hrs
we don't anything about their individual rate of working so clearly insufficient
Statement 2 tells us Bob alone can complete the task of painting in 31/4 hrs
we don't have info regarding Sue's rate of working so clearly insufficient

Combining both Statements and if we consider time required by Bob to complete the task be B hrs and time required by Sue to complete the task be S hrs then
B + S = 2hrs
B = 31/4 hrs
we can solve this 2 equations(although the time is given you get the idea of solving these 2 equations using principles of time and work)
Correct Answer - C
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Re: How long would it take Sue to paint the room? [#permalink]

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New post 29 Aug 2017, 14:12
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Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: How long would it take Sue to paint the room?   [#permalink] 29 Aug 2017, 14:12
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