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## How many papers can Bill and Tim proofread in 60 minutes if

This topic has 1 expert reply and 0 member replies

### Top Member

ardz24 Master | Next Rank: 500 Posts
Joined
22 Aug 2017
Posted:
374 messages

#### How many papers can Bill and Tim proofread in 60 minutes if

Fri Sep 22, 2017 5:30 am
How many papers can Bill and Tim proofread in 60 minutes if they are working together?

(1) Bill can proofread twice as many papers as Tim in the same time period.

(2) Tim can proofread 30 fewer papers than Bill in 60 minutes.

How to determine which statement is sufficient?

### GMAT/MBA Expert

Jay@ManhattanReview GMAT Instructor
Joined
22 Aug 2016
Posted:
976 messages
Followed by:
20 members
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Sun Sep 24, 2017 9:21 pm
ardz24 wrote:
How many papers can Bill and Tim proofread in 60 minutes if they are working together?

(1) Bill can proofread twice as many papers as Tim in the same time period.

(2) Tim can proofread 30 fewer papers than Bill in 60 minutes.

How to determine which statement is sufficient?
Say Bill proofread b number of papers in 60", while Tim does t in 60".

We have to find out the value of (b + t).

Statement 1: Bill can proofread twice as many papers as Tim in the same time period.

=> b = 2t. Clearly, insufficient.

Statement 2: Tim can proofread 30 fewer papers than Bill in 60 minutes.

=> t = b - 30. Clearly, insufficient.

Statement 1 & 2:

From b = 2t and t = b - 30, we get b = 60 and t = 30, thus, (b + t) = 90 papers. Sufficient.

Hope this helps!

-Jay
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