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# A room is to be painted by Jane and Sally working together. How long w

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A room is to be painted by Jane and Sally working together. How long w  [#permalink]

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07 Apr 2017, 12:07
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Difficulty:

5% (low)

Question Stats:

90% (00:30) correct 10% (00:34) wrong based on 119 sessions

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Source: Nova GMAT

A room is to be painted by Jane and Sally working together. How long will it take them to paint the room together?

1. Jane can paint the room in 16 hours, working alone.
2. Sally can paint the room in 12 hours, working alone.

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Re: A room is to be painted by Jane and Sally working together. How long w  [#permalink]

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08 Apr 2017, 08:03
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Source: Nova GMAT

A room is to be painted by Jane and Sally working together. How long will it take them to paint the room together?

1) Jane can paint the room in 16 hours, working alone.
2) Sally can paint the room in 12 hours, working alone.

Target question: How long will it take them to paint the room together?

Statement 1: Jane can paint the room in 16 hours, working alone.
Statement 1 is NOT SUFFICIENT

Statement 2: Sally can paint the room in 12 hours, working alone.
Statement 2 is NOT SUFFICIENT

Statements 1 and 2 combined
Statement 1 tells us Jane's rate
Statement 2 tells us Sally's rate
Since we know exactly how fast each person can paint, we COULD determine their combined rate, which means we COULD determine how long will it take them to paint the room together
Of course, performing those tedious calculations on test day is a bad idea, since we need only determine whether or not the statements are sufficient.
Since we COULD answer the target question with certainty, the combined statements are SUFFICIENT

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Re: A room is to be painted by Jane and Sally working together. How long w  [#permalink]

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10 Apr 2017, 18:24
1 is insufficient because we do not know how long it would take Sally to paint the room alone
2 is insufficient because we do not know how long it would take Jane to paint the room alone
If we combine 1 & 2, sufficient

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Re: A room is to be painted by Jane and Sally working together. How long w  [#permalink]

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26 Jun 2017, 16:44

This equation comes in handy....again

$$W=\frac{AB}{A+B}$$ where A and B are rates and W is the work done.

Statement 1: Gives A, nothing about B. Not sufficient
Statement 2: Gives B, nothing about A. Not sufficient

A problem like this should take no more than 30 seconds.
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Re: A room is to be painted by Jane and Sally working together. How long w  [#permalink]

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26 Jun 2017, 22:40
A room is to be painted by Jane and Sally working together. How long will it take them to paint the room together?

1. Jane can paint the room in 16 hours, working alone.

As we want to find the work done by both of them together, having information on just one persons work will not be sufficient.

In this case we only Jane's time taken to complete the work but not Sally's

Hence (1) =====> is NOT SUFFICIENT

2. Sally can paint the room in 12 hours, working alone.

Once again, as we want to find the work done by both of them together, having information on just one persons work will not be sufficient.

In this case we only know Sally's time taken to complete the work but not Jane's.

Hence (2) =====> is NOT SUFFICIENT

Now, lets combine (1) and (2)

As you might know that, in order to find out time taken for both of them working together can be calculated by the formula

$$Work Done (Together) = \frac{a * b}{a + b}$$

Note, we need not actually solve the problem here, even knowing that we can get an answer should be sufficient.

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Re: A room is to be painted by Jane and Sally working together. How long w  [#permalink]

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25 Jul 2017, 02:47

Combined Rate =AB/A+B)
Combined time=(A+B)/AB

This formula can only be used if individual time is given.

sasyaharry wrote:

This equation comes in handy....again

$$W=\frac{AB}{A+B}$$ where A and B are rates and W is the work done.

Statement 1: Gives A, nothing about B. Not sufficient
Statement 2: Gives B, nothing about A. Not sufficient

A problem like this should take no more than 30 seconds.
Re: A room is to be painted by Jane and Sally working together. How long w   [#permalink] 25 Jul 2017, 02:47
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