GMAT Quantitative Reasoning Practice Test 5

Question : 98 of 100

Marks: +1, -0

It takes Joe and Ted four hours to paint a room when they work together. How long does it take Joe working by himself to paint the same room?
(1) The dimensions of the room are 12' by 12' by 8'.
(2) It takes Ted seven hours to paint the room by himself.

Statement (1), BY ITSELF, will suffice to solve the problem, but NOT statement (2) by itself.
Statement (2), BY ITSELF, will suffice to solve the problem, but NOT statement (1) by itself.
The problem can be solved using statement (1) and statement (2) TOGETHER, but not ONLY statement (1) or statement (2).
The problem can be solved using EITHER statement (1) only or statement (2) only.
The problem CANNOT be solved using statement (1) and statement (2) TOGETHER.

Validate

Solution:

The dimensions of the room are not significant and will not help you solve the problem. Statement (2) tells how long it takes Ted to paint the room alone. Using this information, you can set up the equation

\;{1}/{x}+\;{1}/{7}=\;{1}/{4}

In this equation, x is the time it takes Joe to paint the room,

1/x

is the part of the room Joe can paint in one hour,

1/7

is the part of the room Ted can paint in one hour, and

1/4

is the part of the room they can paint together in one hour. Stop. You have an equation that can be solved, but you do not need to solve it. Statement (2) is sufficient.

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