GMAT Question of the Day: Daily via email | Daily via Instagram New to GMAT Club? Watch this Video

 It is currently 03 Jun 2020, 20:36

### GMAT Club Daily Prep

#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

# A wood beam 48 inches in length is cut into two smaller beams. If one

Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 64227
A wood beam 48 inches in length is cut into two smaller beams. If one  [#permalink]

### Show Tags

25 Jul 2017, 21:43
00:00

Difficulty:

15% (low)

Question Stats:

75% (00:59) correct 25% (00:48) wrong based on 150 sessions

### HideShow timer Statistics

A wood beam 48 inches in length is cut into two smaller beams. If one of the new beams is 20 inches longer than the other, what is the length of the longer beam?

A. 14
B. 18
C. 28
D. 30
E. 34

_________________
Verbal Forum Moderator
Status: Greatness begins beyond your comfort zone
Joined: 08 Dec 2013
Posts: 2445
Location: India
Concentration: General Management, Strategy
Schools: Kelley '20, ISB '19
GPA: 3.2
WE: Information Technology (Consulting)
Re: A wood beam 48 inches in length is cut into two smaller beams. If one  [#permalink]

### Show Tags

25 Jul 2017, 22:00
Bunuel wrote:
A wood beam 48 inches in length is cut into two smaller beams. If one of the new beams is 20 inches longer than the other, what is the length of the longer beam?

A. 14
B. 18
C. 28
D. 30
E. 34

Let length of smaller beam = x
length of longer beam = x+20

x+ x+20 = 48
=> x = 14
Length of longer beam = 34

_________________
When everything seems to be going against you, remember that the airplane takes off against the wind, not with it. - Henry Ford
The Moment You Think About Giving Up, Think Of The Reason Why You Held On So Long
RSM Erasmus Moderator
Joined: 26 Mar 2013
Posts: 2443
Concentration: Operations, Strategy
Schools: Erasmus
Re: A wood beam 48 inches in length is cut into two smaller beams. If one  [#permalink]

### Show Tags

26 Jul 2017, 16:12
Bunuel wrote:
A wood beam 48 inches in length is cut into two smaller beams. If one of the new beams is 20 inches longer than the other, what is the length of the longer beam?

A. 14
B. 18
C. 28
D. 30
E. 34

Let the Longest cut = x & shortest cut = x - 20

48 = 2x -20

2x = 68....x= 34

GMAT Club Legend
Joined: 11 Sep 2015
Posts: 4886
GMAT 1: 770 Q49 V46
Re: A wood beam 48 inches in length is cut into two smaller beams. If one  [#permalink]

### Show Tags

27 Jul 2017, 07:53
1
Top Contributor
Bunuel wrote:
A wood beam 48 inches in length is cut into two smaller beams. If one of the new beams is 20 inches longer than the other, what is the length of the longer beam?

A. 14
B. 18
C. 28
D. 30
E. 34

Using one variable (as the posters above have done) is preferable to 2 variables.
But, just for kicks, let's solve it with 2 variables.

Let S = length of SHORTER beam
Let L = length of LONGER beam

A wood beam 48 inches in length is cut into two smaller beams.
So, we can write: L + S = 48

One of the new beams is 20 inches longer than the other
We can write: L = S + 20
Subtract S from both sides to get: L - S = 20

We now have the following system:
L - S = 20
L + S = 48

ADD the two equations to get: 2L = 68
Divide both sides by 2 to get: L = 34

Cheers,
Brent
_________________
Test confidently with gmatprepnow.com
GMAT Club Legend
Joined: 11 Sep 2015
Posts: 4886
GMAT 1: 770 Q49 V46
Re: A wood beam 48 inches in length is cut into two smaller beams. If one  [#permalink]

### Show Tags

27 Jul 2017, 08:02
1
Top Contributor
Bunuel wrote:
A wood beam 48 inches in length is cut into two smaller beams. If one of the new beams is 20 inches longer than the other, what is the length of the longer beam?

A. 14
B. 18
C. 28
D. 30
E. 34

We can also solve this by testing the answer choices

C) 28
This means the longer beam has length 28
Since the longer bean is 20 inches longer than the shorter beam, this means the shorter beam has length 8
If we add the two lengths we get: 28 + 8 = 36, but we're told the combined length must be 48
ELIMINATE C

NOTE: Using answer choice C (28), the combined length (of 36 inches) was not long enough. This means we need the longer beam to be LONGER than 28 inches.
So, we can ELIMINATE A and B as well

Now try D
D) 30
This means the longer beam has length 30
Since the longer bean is 20 inches longer than the shorter beam, this means the shorter beam has length 10
If we add the two lengths we get: 30 + 10 = 40, but we're told the combined length must be 48
ELIMINATE D

At this point, since we have already eliminated A, B, C and D, answer choice E MUST be correct.
That is, we need not test it, since doing so would waste valuable time.

That said, let's test it (for fun!!!)
E) 34
This means the longer beam has length 34
Since the longer bean is 20 inches longer than the shorter beam, this means the shorter beam has length 14
If we add the two lengths we get: 34 + 14 = 48
PERFECT!!

RELATED VIDEO

_________________
Test confidently with gmatprepnow.com
Non-Human User
Joined: 09 Sep 2013
Posts: 15059
Re: A wood beam 48 inches in length is cut into two smaller beams. If one  [#permalink]

### Show Tags

07 Feb 2019, 04:53
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________
Re: A wood beam 48 inches in length is cut into two smaller beams. If one   [#permalink] 07 Feb 2019, 04:53