length

This topic has expert replies
Master | Next Rank: 500 Posts
Posts: 163
Joined: 13 Jan 2015
Thanked: 2 times

length

by didieravoaka » Wed Apr 13, 2016 2:52 pm
A wooden rod is cut into two pieces. What is the length of the longer piece?

(1) One of the pieces is 20 inches longer than the other piece.
(2) The length of the shorter piece is 1/3 the length of the longer piece.

I got C for this question. Shorter 10 and longer 30

GMAT/MBA Expert

User avatar
Elite Legendary Member
Posts: 10392
Joined: 23 Jun 2013
Location: Palo Alto, CA
Thanked: 2867 times
Followed by:508 members
GMAT Score:800

by [email protected] » Wed Apr 13, 2016 3:40 pm
Hi didieravoaka,

Do you have a question about this prompt?

GMAT assassins aren't born, they're made,
Rich
Contact Rich at [email protected]
Image

Master | Next Rank: 500 Posts
Posts: 199
Joined: 26 Apr 2014
Thanked: 16 times
Followed by:4 members
GMAT Score:780

by 800_or_bust » Wed Apr 13, 2016 4:52 pm
didieravoaka wrote:A wooden rod is cut into two pieces. What is the length of the longer piece?

(1) One of the pieces is 20 inches longer than the other piece.
(2) The length of the shorter piece is 1/3 the length of the longer piece.

I got C for this question. Shorter 10 and longer 30
Yes, that's correct.

Let x equal the length of the longer rod. And y the length of the shorter rod.

Then x = y + 20 and y = x/3.

And by substitution, x = x/3 + 20. Solving for x, x = 30. Plugging this back into either equation, we find y = 10.

Fairly easy system of equations.
800 or bust!

User avatar
Master | Next Rank: 500 Posts
Posts: 410
Joined: 13 Mar 2015
Location: Worldwide
Thanked: 120 times
Followed by:8 members
GMAT Score:770

by OptimusPrep » Wed Apr 13, 2016 8:03 pm
didieravoaka wrote:A wooden rod is cut into two pieces. What is the length of the longer piece?

(1) One of the pieces is 20 inches longer than the other piece.
(2) The length of the shorter piece is 1/3 the length of the longer piece.

I got C for this question. Shorter 10 and longer 30
Given: Rod is cut into 2 pieces
Required: Length of the longer piece

Statement 1: One of the pieces is 20 inches longer than the other piece
This statement does not tell us anything about the lengths of the pieces, just a relation between them
Insufficient

Statement 2:The length of the shorter piece is 1/3 the length of the longer piece.
In this case again, there is no information about the lengths of the pieces
Insufficient

Combining both statements:
From Statement 1 - Assume the pieces to be l and l + 20 in length.(We can solve this just by using one variable)
From statement 2 - l + 20 = 3l
Hence we have l = 10
Therefore the length of the longer piece = 20
Sufficient

Option C

Master | Next Rank: 500 Posts
Posts: 163
Joined: 13 Jan 2015
Thanked: 2 times

by didieravoaka » Thu Apr 14, 2016 6:32 am
Yes Rich, I was wondering whether I got it right.

GMAT/MBA Expert

User avatar
Elite Legendary Member
Posts: 10392
Joined: 23 Jun 2013
Location: Palo Alto, CA
Thanked: 2867 times
Followed by:508 members
GMAT Score:800

by [email protected] » Thu Apr 14, 2016 9:49 am
Hi didieravoaka,

Yes, you absolutely DID answer it correctly. What is the source of this question? Didn't it include the correct answer (and an explanation?)?

GMAT assassins aren't born, they're made,
Rich
Contact Rich at [email protected]
Image

GMAT Instructor
Posts: 2630
Joined: 12 Sep 2012
Location: East Bay all the way
Thanked: 625 times
Followed by:118 members
GMAT Score:780

by [email protected] » Fri Apr 15, 2016 1:24 pm
didieravoaka wrote:Yes Rich, I was wondering whether I got it right.
There aren't answers for these questions? What a strange source! :)

Master | Next Rank: 500 Posts
Posts: 163
Joined: 13 Jan 2015
Thanked: 2 times

by didieravoaka » Sat May 14, 2016 10:49 am
Hi guys,

Sorry, I don't remember where I got this question. It might be VeritasPrep or GmatPrep.