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## If it takes Patrick 4 hours . . .

This topic has 1 expert reply and 0 member replies

### Top Member

Vincen Legendary Member
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#### If it takes Patrick 4 hours . . .

Fri Sep 15, 2017 7:23 pm
If it takes Patrick 4 hours to paint a room, how long did it take Patrick and Roger working together?

(1) Roger started painting the room at 12 noon.
(2) It takes Roger 3 hours to paint the room.

The statement (1) is not sufficient? Why not?

### GMAT/MBA Expert

Jay@ManhattanReview GMAT Instructor
Joined
22 Aug 2016
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Sat Sep 16, 2017 3:34 am
Vincen wrote:
If it takes Patrick 4 hours to paint a room, how long did it take Patrick and Roger working together?

(1) Roger started painting the room at 12 noon.
(2) It takes Roger 3 hours to paint the room.

The statement (1) is not sufficient? Why not?
Hi Vincen,

We need rates of painting of Patrick and Roger to get their combined rate.

Statement 1 itself is not sufficient since we do not know after starting at 12, by what time Roger completed the work. Thus, the rate of Roger is not known.

Hope this helps!

-Jay
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