Working Together, Joe and Joanne Finish a Job in 2 hours GMAT Data Sufficiency

Question: Working together, Joe and Joanne finish a job in 2 hours. How long will it take Jeremy and Joe to finish the job?

(1) Working alone and without breaks Joe takes 5 hours to finish the job, which is 400% as long as the time it takes Jeremy to finish the job.
(2) Working alone and without breaks Joanne takes 10 hours to finish 3 times the job.

A) Statement (1) ALONE is sufficient, but statement (2) ALONE is not sufficient.
B) Statement (2) ALONE is sufficient, but statement (1) ALONE is not sufficient.
C) BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
D) EACH statement ALONE is sufficient.
E) Statements (1) and (2) TOGETHER are not sufficient.

Correct Answer: D
Solution and Explanation:
Approach Solution 1:

Joe and Joanne collaborate to complete a task in two hours. How long do you think it will be until Jeremy and Joe have this finished?
Joe Hours = x Hours
Joanne's Hours = Y
Jeffery = Time in Zs

In this case, we know that half is equal to 1/x plus 1/y.
Determine (1/x) + (1/z)

Item 1: Putting through long hours without rest It takes Joe 5 hours to do the work that Jeremy can do in two.
Time in cups of joe equals five hours
It's crystal clear that we can use this to determine when Jeremy is available.
Sufficient.

Second Statement: Working without breaks while alone, Joanne needs three times as much time to accomplish the same task.
No information about the jeremiah is provided.
Eliminate

A is the correct answer.

Approach Solution 2:

Joe and Joanne complete a task in two hours when working together. How much time will Jeremy and Joe need to complete the task?

(1) Working without interruptions and alone Joe takes five hours to complete the task, which is 400% longer than Jeremy's time.
Joe requires five hours, which is 400% longer than Jeremy's time of one hour.

We can now calculate the total time.
Sufficient

(2) Working without interruptions and alone Joanne spends 10 hours on a task that should have taken 3.
With the use of this data, we may calculate Joe's time requirements.
Jeremy, what about him?

Doesn't suffice
A is the correct answer.

“Working together, Joe and Joanne finish a job in 2 hours”- is a topic of the GMAT Quantitative reasoning section of GMAT. This question has been taken from the book "The Official Guide for GMAT Review". GMAT Quant section consists of a total of 31 questions. GMAT Data Sufficiency questions consist of a problem statement followed by two factual statements. GMAT data sufficiency comprises 15 questions which are two-fifths of the total 31 GMAT quant questions.

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